Bensoussan, Alain
Overview
Works:  254 works in 685 publications in 5 languages and 10,437 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Author of introduction, Redactor, Honoree, Director 
Classifications:  QA402.3, 003 
Publication Timeline
.
Most widely held works by
Alain Bensoussan
Analysis and optimization of systems
by
A Bensoussan(
Book
)
46 editions published between 1982 and 1993 in English and Multiple languages and held by 1,117 WorldCat member libraries worldwide
This volume contains the proceedings of the conference "state and Frequency Domain Approaches to InfiniteDimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinitedimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches,p.d.e. approaches, frequency domain approaches and syntheses of statespace and frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinitedimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the abovementioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas
46 editions published between 1982 and 1993 in English and Multiple languages and held by 1,117 WorldCat member libraries worldwide
This volume contains the proceedings of the conference "state and Frequency Domain Approaches to InfiniteDimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinitedimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches,p.d.e. approaches, frequency domain approaches and syntheses of statespace and frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinitedimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the abovementioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas
Dynamic programming and inventory control
by
Alain Bensoussan(
)
9 editions published in 2011 in English and held by 976 WorldCat member libraries worldwide
This book presents a unified theory of dynamic programming and Markov decision processes and its application to a major field of operations research and operations management: inventory control. Models are developed in discrete time as well as in continuous time. For continuous time, this book concentrates only on models of interest to inventory control. For discrete time, the focus is mainly on infinite horizon models. The book also covers the difference between impulse control and continuous control. Ergodic control is considered in the context of impulse control, and some simple rules currently used in practice are justified. Chapter 2 introduces some of the classical static problems which are preliminary to the dynamic models of interest in inventory control. This book is not a general text on control theory and dynamic programming, in that the systems dynamics are mostly limited to inventory models. For these models, however, it seeks to be as comprehensive as possible, although finite horizon models in discrete time are not developed, since they are largely described in existing literature. On the other hand, the ergodic control problem is considered in detail, and probabilistic proofs as well as analytical proofs are provided. The techniques developed in this work can be extended to more complex models, covering additional aspects of inventory control
9 editions published in 2011 in English and held by 976 WorldCat member libraries worldwide
This book presents a unified theory of dynamic programming and Markov decision processes and its application to a major field of operations research and operations management: inventory control. Models are developed in discrete time as well as in continuous time. For continuous time, this book concentrates only on models of interest to inventory control. For discrete time, the focus is mainly on infinite horizon models. The book also covers the difference between impulse control and continuous control. Ergodic control is considered in the context of impulse control, and some simple rules currently used in practice are justified. Chapter 2 introduces some of the classical static problems which are preliminary to the dynamic models of interest in inventory control. This book is not a general text on control theory and dynamic programming, in that the systems dynamics are mostly limited to inventory models. For these models, however, it seeks to be as comprehensive as possible, although finite horizon models in discrete time are not developed, since they are largely described in existing literature. On the other hand, the ergodic control problem is considered in detail, and probabilistic proofs as well as analytical proofs are provided. The techniques developed in this work can be extended to more complex models, covering additional aspects of inventory control
Representation and control of infinite dimensional systems
by
Alain Bensoussan(
)
33 editions published between 1991 and 2007 in English and Italian and held by 731 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. ... 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"Page 4 of cover
33 editions published between 1991 and 2007 in English and Italian and held by 731 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. ... 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"Page 4 of cover
Asymptotic analysis for periodic structures
by
Alain Bensoussan(
Book
)
20 editions published between 1978 and 2011 in English and held by 505 WorldCat member libraries worldwide
Asymptotic Analysis for Periodic Structures
20 editions published between 1978 and 2011 in English and held by 505 WorldCat member libraries worldwide
Asymptotic Analysis for Periodic Structures
Stochastic control by functional analysis methods
by
Alain Bensoussan(
Book
)
13 editions published in 1982 in English and held by 419 WorldCat member libraries worldwide
Stochastic Control by Functional Analysis Methods
13 editions published in 1982 in English and held by 419 WorldCat member libraries worldwide
Stochastic Control by Functional Analysis Methods
Applications of variational inequalities in stochastic control
by
Alain Bensoussan(
Book
)
13 editions published in 1982 in English and held by 368 WorldCat member libraries worldwide
Applications of Variational Inequalities in Stochastic Control
13 editions published in 1982 in English and held by 368 WorldCat member libraries worldwide
Applications of Variational Inequalities in Stochastic Control
Regularity results for nonlinear elliptic systems and applications
by
Alain Bensoussan(
Book
)
13 editions published between 2001 and 2011 in English and held by 340 WorldCat member libraries worldwide
The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students
13 editions published between 2001 and 2011 in English and held by 340 WorldCat member libraries worldwide
The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students
Management applications of modern control theory
by
Alain Bensoussan(
Book
)
8 editions published in 1974 in English and held by 336 WorldCat member libraries worldwide
8 editions published in 1974 in English and held by 336 WorldCat member libraries worldwide
Applied stochastic control in econometrics and management science
(
Book
)
11 editions published in 1980 in English and held by 328 WorldCat member libraries worldwide
11 editions published in 1980 in English and held by 328 WorldCat member libraries worldwide
Stochastic control of partially observable systems
by
Alain Bensoussan(
Book
)
12 editions published between 1992 and 2004 in English and held by 293 WorldCat member libraries worldwide
12 editions published between 1992 and 2004 in English and held by 293 WorldCat member libraries worldwide
Singular perturbations and asymptotic analysis in control systems
by
Petar V Kokotović(
Book
)
13 editions published between 1986 and 1987 in English and held by 272 WorldCat member libraries worldwide
13 editions published between 1986 and 1987 in English and held by 272 WorldCat member libraries worldwide
Perturbation methods in optimal control
by
Alain Bensoussan(
Book
)
13 editions published in 1988 in English and Undetermined and held by 267 WorldCat member libraries worldwide
" ... the purpose of this book is to describe and analyse (and to some extent generalise) the principal results, scattered in the literature, concerning perturbation methods in optimal control for systems that are governed by deterministic or stochastic differential equations."Preface
13 editions published in 1988 in English and Undetermined and held by 267 WorldCat member libraries worldwide
" ... the purpose of this book is to describe and analyse (and to some extent generalise) the principal results, scattered in the literature, concerning perturbation methods in optimal control for systems that are governed by deterministic or stochastic differential equations."Preface
Impulse control and quasivariational inequalities
by
Alain Bensoussan(
Book
)
13 editions published between 1982 and 1984 in French and English and held by 264 WorldCat member libraries worldwide
13 editions published between 1982 and 1984 in French and English and held by 264 WorldCat member libraries worldwide
Mathematical techniques of optimization, control, and decision
by
Jean Pierre Aubin(
Book
)
13 editions published between 1981 and 1983 in 4 languages and held by 259 WorldCat member libraries worldwide
13 editions published between 1981 and 1983 in 4 languages and held by 259 WorldCat member libraries worldwide
Applied optimal control
(
Book
)
8 editions published in 1978 in English and held by 247 WorldCat member libraries worldwide
8 editions published in 1978 in English and held by 247 WorldCat member libraries worldwide
Advances in Hamiltonian systems
by J. P Aubin(
Book
)
11 editions published in 1983 in English and Undetermined and held by 241 WorldCat member libraries worldwide
11 editions published in 1983 in English and Undetermined and held by 241 WorldCat member libraries worldwide
Mathematical theory of production planning
by
Alain Bensoussan(
Book
)
8 editions published in 1983 in English and held by 227 WorldCat member libraries worldwide
8 editions published in 1983 in English and held by 227 WorldCat member libraries worldwide
International Symposium on Systems Optimization and Analysis, Rocquencourt, December 1113, 1978
by
A Bensoussan(
Book
)
16 editions published in 1979 in English and French and held by 218 WorldCat member libraries worldwide
16 editions published in 1979 in English and French and held by 218 WorldCat member libraries worldwide
Real options, ambiguity, risk and insurance : world class university program in financial engineering, Ajou University. Volume two
by
A Bensoussan(
)
2 editions published in 2013 in English and held by 209 WorldCat member libraries worldwide
Title Page; Preface; Contents; Part 1. Real Options; Optimal Investment Under Liquidity Constraints; Introduction; Optimal Investment in Perfect Capital Markets; The Benchmark Model; Discussion; Optimal Stopping for a CashConstrained Firm; The Model; Value of the Firm with No Growth Option; Value of the Firm with a Growth Option; A Verification Theorem; Solution to Optimal Stopping Problem Fi; Fi as a Super Solution to HJB Equation (3.13); Future Works; Investment in HighTech Industries: An Example from the LCD Industry; Introduction; The Investment Model with Geometric Brownian Motion
2 editions published in 2013 in English and held by 209 WorldCat member libraries worldwide
Title Page; Preface; Contents; Part 1. Real Options; Optimal Investment Under Liquidity Constraints; Introduction; Optimal Investment in Perfect Capital Markets; The Benchmark Model; Discussion; Optimal Stopping for a CashConstrained Firm; The Model; Value of the Firm with No Growth Option; Value of the Firm with a Growth Option; A Verification Theorem; Solution to Optimal Stopping Problem Fi; Fi as a Super Solution to HJB Equation (3.13); Future Works; Investment in HighTech Industries: An Example from the LCD Industry; Introduction; The Investment Model with Geometric Brownian Motion
Analysis and optimization of systems : proceedings of the Fourth International Conference on Analysis and Optimization of Systems, Versailles, December 1619, 1980
by
A Bensoussan(
Book
)
8 editions published in 1980 in English and German and held by 205 WorldCat member libraries worldwide
8 editions published in 1980 in English and German and held by 205 WorldCat member libraries worldwide
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Related Identities
 Lions, J.L (JacquesLouis) 19282001 Author Editor
 Institut national de recherche en informatique et en automatique (France)
 Tapiero, Charles S. Editor
 Frehse, J. (Jens)
 Kleindorfer, Paul R. Editor
 Aubin, Jean Pierre Author Editor
 Ekeland, I. (Ivar) 1944 Editor
 Papanicolaou, George
 Peng, Shige Editor
 Sung, Jaeyoung Editor
Associated Subjects
Approximation theory Automatic control Biological control systems Biotechnology Boundary value problemsNumerical solutions Calculus of variations Control theory Decision making Differentiable dynamical systems Differential equations, EllipticNumerical solutions Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equations, PartialAsymptotic theory Dynamic programming Econometrics Engineering Engineering mathematics Financial engineering Financial risk management Global analysis (Mathematics) Hamiltonian systems Industrial managementMathematical models Inequalities (Mathematics) Inventory controlData processing Investments Management ManagementMathematical models Markov processes Mathematical optimization Mathematics Numerical analysis Operations research Operator theory Perturbation (Mathematics) Probabilities Production planningMathematical models Risk assessment Stochastic analysis Stochastic control theory Stochastic processes Structural control (Engineering) System analysis Systems engineering Variational inequalities (Mathematics)
Alternative Names
Bensoussan, A.
Bensoussan, A. 1940
Bensoussan, A. (Alain)
Bensusan, A.
Bensusan, A. (Alan)
Bensusan, Alan
Bensusan, Alan 1940
Бенсусан, А.
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