Mitter, S. K. (Sanjoy K.) 1933
Overview
Works:  87 works in 179 publications in 3 languages and 1,225 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Author of introduction 
Classifications:  QA402.3, 629.8312 
Publication Timeline
.
Most widely held works about
S. K Mitter
 Agency history record by Massachusetts Institute of TechnologyMassachusetts Institute of Technology( )
Most widely held works by
S. K Mitter
Nonlinear filtering and stochastic control : proceedings of the 3rd 1981 session of the Centro internazionale matematico estivo (C.I.M.E.), held at Cortona, July 110, 1981
by
S. K Mitter(
Book
)
30 editions published between 1982 and 2008 in English and German and held by 519 WorldCat member libraries worldwide
30 editions published between 1982 and 2008 in English and German and held by 519 WorldCat member libraries worldwide
Mathematical systems theory : proceedings of the international symposium held in Udine, Italy, June 1627, 1975
by
Giovanni Marchesini(
Book
)
13 editions published between 1975 and 1976 in English and held by 239 WorldCat member libraries worldwide
13 editions published between 1975 and 1976 in English and held by 239 WorldCat member libraries worldwide
Directions in largescale systems : manyperson optimization, and decentralized control : [proceedings]
by ManyPerson Optimization, and LargeScale Systems Conference on Directions in Decentralized Control(
Book
)
8 editions published between 1975 and 1976 in English and held by 235 WorldCat member libraries worldwide
8 editions published between 1975 and 1976 in English and held by 235 WorldCat member libraries worldwide
Representation and control of infinite dimensional systems
by
Alain Bensoussan(
)
9 editions published in 2007 in English and held by 35 WorldCat member libraries worldwide
This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." "Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a twovolume set is a selfcontained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: @* Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into Hinfinity theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum differential games. @* A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. @* The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control
9 editions published in 2007 in English and held by 35 WorldCat member libraries worldwide
This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." "Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a twovolume set is a selfcontained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: @* Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into Hinfinity theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum differential games. @* A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. @* The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control
Mathematical control theory
by
J Baillieul(
Book
)
3 editions published between 1998 and 1999 in English and Undetermined and held by 14 WorldCat member libraries worldwide
This selfcontained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development. Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth. This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory
3 editions published between 1998 and 1999 in English and Undetermined and held by 14 WorldCat member libraries worldwide
This selfcontained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development. Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth. This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory
Directions in LargeScale Systems ManyPerson Optimization and Decentralized Control
by
YuChi Ho(
)
2 editions published in 1976 in English and held by 14 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 14 WorldCat member libraries worldwide
Representation and control of infinite dimensional systems
by
Alain Bensoussan(
Book
)
2 editions published between 1992 and 2007 in English and held by 11 WorldCat member libraries worldwide
2 editions published between 1992 and 2007 in English and held by 11 WorldCat member libraries worldwide
Signal processing
by
Louis Auslander(
Book
)
3 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
Probabilità€ ed informazione
by
Andrea Carlo Giuseppe Mennucci(
Book
)
3 editions published in 2000 in Italian and held by 7 WorldCat member libraries worldwide
3 editions published in 2000 in Italian and held by 7 WorldCat member libraries worldwide
Simulated annealing with noisy or imprecise energy measurements
by
Saul B Gelfand(
Book
)
4 editions published between 1988 and 1989 in English and held by 6 WorldCat member libraries worldwide
The annealing algorithm (Ref. 1) is modified to allow for noisy or imprecise measurements of the energy cost function. This is important when the energy cannot be measured exactly or when it is computationally expensive to do so. Under suitable conditions on the noise/imprecision, it is shown that the modified algorithm exhibits the same convergence in probability to the globally minimum energy states as the annealing algorithm (Ref. 2). Since the annealing algorithm will typically enter and exit the minimum energy states infinitely often with probability one, the minimum energy state visited by the annealing algorithm is usually tracked. The effect of using noisy or imprecise energy measurements on tracking the minimum energy state visited by the modified algorithms is examined. Keywords: Simulated annealing, Combinatorial optimization, Noisy measurements, Markov chains, computer simulation. (kt)
4 editions published between 1988 and 1989 in English and held by 6 WorldCat member libraries worldwide
The annealing algorithm (Ref. 1) is modified to allow for noisy or imprecise measurements of the energy cost function. This is important when the energy cannot be measured exactly or when it is computationally expensive to do so. Under suitable conditions on the noise/imprecision, it is shown that the modified algorithm exhibits the same convergence in probability to the globally minimum energy states as the annealing algorithm (Ref. 2). Since the annealing algorithm will typically enter and exit the minimum energy states infinitely often with probability one, the minimum energy state visited by the annealing algorithm is usually tracked. The effect of using noisy or imprecise energy measurements on tracking the minimum energy state visited by the modified algorithms is examined. Keywords: Simulated annealing, Combinatorial optimization, Noisy measurements, Markov chains, computer simulation. (kt)
Representation and Control of Infinite Dimensional Systems. Systems and Control: Foundations and Applications
(
)
1 edition published in 2007 in English and held by 6 WorldCat member libraries worldwide
The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a twovolume set is a selfcontained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory.; It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H8 theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum differential games. A unique chapter, new to the second edition, brings together advanced concepts and techniques of semigroup theory and interpolation of linear operators that are usually treated independently. The material on delay systems and structural operators is not available elsewhere in book form.Control of infinite dimensional systems has a wide range and growing number of challenging applications.; This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control
1 edition published in 2007 in English and held by 6 WorldCat member libraries worldwide
The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a twovolume set is a selfcontained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory.; It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H8 theory and dissipative systems, and a new chapter on linear quadratic twoperson zerosum differential games. A unique chapter, new to the second edition, brings together advanced concepts and techniques of semigroup theory and interpolation of linear operators that are usually treated independently. The material on delay systems and structural operators is not available elsewhere in book form.Control of infinite dimensional systems has a wide range and growing number of challenging applications.; This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control
Markov random fields, stochastic quantization and image analysis
by
S. K Mitter(
Book
)
3 editions published between 1990 and 1992 in English and held by 5 WorldCat member libraries worldwide
Markov random fields based on the lattice Z2 have been extensively used in image analysis in a Bayesian framework as apriori models for the intensity field and on the dual lattice (Z2)* as models for boundaries. The choice of these models has usually been based on algorithmic considerations in order to exploit the local structure inherent in Markov fields. No fundamental justification has been offered for the use of Markov random fields. It is well known that there is a oneone correspondence between Markov fields and Gibbs fields on a lattice and the Markov Field is simulated by creating a Markov chain whose invariant measure is precisely the Gibbs measure. There are many ways to perform this simulation and one such way is the celebrated Metropolis Algorithm. This is also the basic idea behind Stochastic Quantization. We thus see that if the use of Markov Random fields in the context of Image Analysis can be given some fundamental justification then there is a remarkable connection between Probabilistic Image Analysis, Statistical Mechanics and Latticebased Euclidean Quantum Field Theory
3 editions published between 1990 and 1992 in English and held by 5 WorldCat member libraries worldwide
Markov random fields based on the lattice Z2 have been extensively used in image analysis in a Bayesian framework as apriori models for the intensity field and on the dual lattice (Z2)* as models for boundaries. The choice of these models has usually been based on algorithmic considerations in order to exploit the local structure inherent in Markov fields. No fundamental justification has been offered for the use of Markov random fields. It is well known that there is a oneone correspondence between Markov fields and Gibbs fields on a lattice and the Markov Field is simulated by creating a Markov chain whose invariant measure is precisely the Gibbs measure. There are many ways to perform this simulation and one such way is the celebrated Metropolis Algorithm. This is also the basic idea behind Stochastic Quantization. We thus see that if the use of Markov Random fields in the context of Image Analysis can be given some fundamental justification then there is a remarkable connection between Probabilistic Image Analysis, Statistical Mechanics and Latticebased Euclidean Quantum Field Theory
Hierarchical image segmentation : part I : detection of regular curves in a vector graph
by Stefano Casadei(
Book
)
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Stochastic processes that generate polygonal and related random fields
by
Vivek S Borkar(
Book
)
2 editions published in 1993 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 4 WorldCat member libraries worldwide
Some discrete approximations to a variational method for image segmentation
by
Sanjeev R Kulkarni(
Book
)
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Variational formulations have been proposed for a number of tasks in early vision. Discrete versions of these problems are closely related to Markov random field models and are typically used in implementing such methods. In particular, discrete and continuous versions for the problem of image segmentation have received considerable attention from both theoretical and algorithmic perspectives. It has been previously pointed out that the usual discrete version of the segmentation problem does not properly approximate the continuous formulation in the sense that the discrete solutions may not converge to a solution of the continuous problem as the lattice spacing tends to zero. One method for modifying the discrete formulations to ensure such convergence has been previously discussed. Here we consider two other partially discrete formulations which also satisfy desirable convergence properties in the continuum limit, and we discuss some general ideas about digitized versions of the variational formulation of the segmentation problem
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Variational formulations have been proposed for a number of tasks in early vision. Discrete versions of these problems are closely related to Markov random field models and are typically used in implementing such methods. In particular, discrete and continuous versions for the problem of image segmentation have received considerable attention from both theoretical and algorithmic perspectives. It has been previously pointed out that the usual discrete version of the segmentation problem does not properly approximate the continuous formulation in the sense that the discrete solutions may not converge to a solution of the continuous problem as the lattice spacing tends to zero. One method for modifying the discrete formulations to ensure such convergence has been previously discussed. Here we consider two other partially discrete formulations which also satisfy desirable convergence properties in the continuum limit, and we discuss some general ideas about digitized versions of the variational formulation of the segmentation problem
On sampling methods and annealing algorithms
by
Saul B Gelfand(
Book
)
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
Discrete Markov random fields (MRF's) defined on a finite lattice have seen significant application as stochastic models for images [1], [2]. There are two fundamental problems associated with image processing based on such random field models. First, we want to generate realizations of the random fields to determine their suitability as models of our prior knowledge. Second, we want to collect statistics and perform optimizations associated with the random fields to solve modelbased estimation problems, e.g., image restoration and segmentation. According to the HammersleyClifford Theorem [3], MRF's which are defined on a lattice are in onetoone correspondence with Gibbs distributions. Starting with [4] there have been various constructions of Markov chains which possess a Gibbs invariant distribution, and whose common characteristic is that their transition probabilities depend only on the ratio of the Gibbs probabilities (and not on the normalization constant). These chains can be used via Monte Carlo simulation for sampling from Gibbs distributions at a fixed temperature, and for finding globally minimum energy states by slowly decreasing the temperature as in the simulated annealing (or stochastic relaxation) method [5], [6]. Certain types of diffusion processes which also have a Gibbs invariant distribution can be used for the same purposes when the random fields are continuousvalued [7], [8]
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
Discrete Markov random fields (MRF's) defined on a finite lattice have seen significant application as stochastic models for images [1], [2]. There are two fundamental problems associated with image processing based on such random field models. First, we want to generate realizations of the random fields to determine their suitability as models of our prior knowledge. Second, we want to collect statistics and perform optimizations associated with the random fields to solve modelbased estimation problems, e.g., image restoration and segmentation. According to the HammersleyClifford Theorem [3], MRF's which are defined on a lattice are in onetoone correspondence with Gibbs distributions. Starting with [4] there have been various constructions of Markov chains which possess a Gibbs invariant distribution, and whose common characteristic is that their transition probabilities depend only on the ratio of the Gibbs probabilities (and not on the normalization constant). These chains can be used via Monte Carlo simulation for sampling from Gibbs distributions at a fixed temperature, and for finding globally minimum energy states by slowly decreasing the temperature as in the simulated annealing (or stochastic relaxation) method [5], [6]. Certain types of diffusion processes which also have a Gibbs invariant distribution can be used for the same purposes when the random fields are continuousvalued [7], [8]
Scaling results for the variational approach to edge detection
by
Thomas J Richardson(
Book
)
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
In another paper the first author presented an asymptotic result concerning the MumfordShah functional. In this paper an algorithm is presented which implements the scaling suggested by the asymptotic results to obtain accurate localization of edges even when only large scale edges are being detected. An approximation to E is also considered and the implications of the asymptotic results to this functional are also examined
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
In another paper the first author presented an asymptotic result concerning the MumfordShah functional. In this paper an algorithm is presented which implements the scaling suggested by the asymptotic results to obtain accurate localization of edges even when only large scale edges are being detected. An approximation to E is also considered and the implications of the asymptotic results to this functional are also examined
Quantum estimation theory
by
S. K Mitter(
Book
)
1 edition published in 1979 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1979 in English and held by 3 WorldCat member libraries worldwide
Some minmax optimization problems in infinitedimensional control systems
by F Fagnani(
Book
)
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
LQG control with communication constraints
by
Vivek S Borkar(
Book
)
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Moro, A. (Antonio) Editor
 Centro internazionale matematico estivo Editor
 Ho, YuChi 1934 Author Editor
 Marchesini, Giovanni 1936 Author Editor
 Massachusetts Institute of Technology Laboratory for Information and Decision Systems
 Delfour, Michel C.
 Center for Intelligent Control Systems (U.S.)
 Bensoussan, Alain Author
 Prato, Giuseppe
 Gelfand, Saul B. (Saul Brian) Author
Useful Links
Associated Subjects
Algorithms Automatic control Coding theory Computer vision Control theory Curves Differential equations, Partial Distribution (Probability theory) Dynamic programming Estimation theory Filters (Mathematics) Graph theory Image processing Image processingDigital techniques Markov processes Mathematical optimization Mathematics Operator equations, Nonlinear Operator theory Quantum statistics Random fields Sequential machine theory Signal processing Signal processingMathematics Simulated annealing (Mathematics) Stochastic control theory Stochastic differential equations Stochastic systems Structural control (Engineering) System analysis System theory