Bensoussan, Alain
Overview
Works:  108 works in 507 publications in 6 languages and 9,459 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Author of introduction, Redactor, Honoree, Director, Opponent 
Classifications:  QA402.3, 629.8312 
Publication Timeline
.
Most widely held works by
Alain Bensoussan
Representation and control of infinite dimensional systems by
Alain Bensoussan(
Book
)
36 editions published between 1991 and 2007 in English and Italian and held by 379 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"P. [4] de la couv
36 editions published between 1991 and 2007 in English and Italian and held by 379 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"P. [4] de la couv
Applications of variational inequalities in stochastic control by
Alain Bensoussan(
Book
)
24 editions published between 1978 and 1988 in English and French and held by 363 WorldCat member libraries worldwide
Applications of Variational Inequalities in Stochastic Control
24 editions published between 1978 and 1988 in English and French and held by 363 WorldCat member libraries worldwide
Applications of Variational Inequalities in Stochastic Control
Management applications of modern control theory by
Alain Bensoussan(
Book
)
13 editions published in 1974 in 3 languages and held by 346 WorldCat member libraries worldwide
13 editions published in 1974 in 3 languages and held by 346 WorldCat member libraries worldwide
Asymptotic analysis for periodic structures by
Alain Bensoussan(
Book
)
20 editions published between 1978 and 2011 in English and held by 343 WorldCat member libraries worldwide
Asymptotic Analysis for Periodic Structures
20 editions published between 1978 and 2011 in English and held by 343 WorldCat member libraries worldwide
Asymptotic Analysis for Periodic Structures
Applied stochastic control in econometrics and management science(
Book
)
11 editions published between 1980 and 1988 in English and held by 331 WorldCat member libraries worldwide
11 editions published between 1980 and 1988 in English and held by 331 WorldCat member libraries worldwide
Regularity results for nonlinear elliptic systems and applications by
Alain Bensoussan(
Book
)
15 editions published between 2001 and 2011 in English and held by 323 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
15 editions published between 2001 and 2011 in English and held by 323 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
Control theory, numerical methods, and computer systems modelling : international symposium, Rocquencourt, June 1721, 1974 by
Alain Bensoussan(
Book
)
18 editions published in 1975 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Filtering theory; Game theory; Control of stochastic distributed parameter systems and Random fields; Stochastic control; Discrete time problems and numerical methods; Control of distributed parameter systems; Control of jump processes and computer model applications; Free boundary value problems and control theory; Application of control theory in economics, process control and pattern recognition
18 editions published in 1975 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Filtering theory; Game theory; Control of stochastic distributed parameter systems and Random fields; Stochastic control; Discrete time problems and numerical methods; Control of distributed parameter systems; Control of jump processes and computer model applications; Free boundary value problems and control theory; Application of control theory in economics, process control and pattern recognition
Stochastic control of partially observable systems by
Alain Bensoussan(
Book
)
11 editions published between 1992 and 2004 in English and held by 281 WorldCat member libraries worldwide
11 editions published between 1992 and 2004 in English and held by 281 WorldCat member libraries worldwide
Impulse control and quasivariational inequalities by
Alain Bensoussan(
Book
)
19 editions published between 1982 and 1987 in 3 languages and held by 276 WorldCat member libraries worldwide
19 editions published between 1982 and 1987 in 3 languages and held by 276 WorldCat member libraries worldwide
Future tendencies in computer science, control, and applied mathematics : International Conference on the Occasion of the
25th Anniversary of INRIA : Paris, France, December 811, 1992 : proceedings by
Alain Bensoussan(
Book
)
16 editions published between 1992 and 1993 in English and German and held by 272 WorldCat member libraries worldwide
"This volume contains the proceedings of the International Conference on Research in Computer Science and Control, held on the occasion of the 25th anniversary of INRIA in December 1992. The objective of this conference was to bring together a large number of the world's leading specialists in information technology who are particularly active in the fields covered by INRIA research programmes, to present the state of the art and a prospective view of future research. The contributions in the volume are organized into the following areas: Parallel processing, databases, networks, and distributed systems; Symbolic computation, programming, and software engineering; Artificial intelligence, cognitive systems, and manmachine interaction; Robotics, image processing, and computer vision; Signal processing, control and manufacturing automation; Scientific computing, numerical software, and computer aided engineering."PUBLISHER'S WEBSITE
16 editions published between 1992 and 1993 in English and German and held by 272 WorldCat member libraries worldwide
"This volume contains the proceedings of the International Conference on Research in Computer Science and Control, held on the occasion of the 25th anniversary of INRIA in December 1992. The objective of this conference was to bring together a large number of the world's leading specialists in information technology who are particularly active in the fields covered by INRIA research programmes, to present the state of the art and a prospective view of future research. The contributions in the volume are organized into the following areas: Parallel processing, databases, networks, and distributed systems; Symbolic computation, programming, and software engineering; Artificial intelligence, cognitive systems, and manmachine interaction; Robotics, image processing, and computer vision; Signal processing, control and manufacturing automation; Scientific computing, numerical software, and computer aided engineering."PUBLISHER'S WEBSITE
Stochastic control by functional analysis methods by
Alain Bensoussan(
Book
)
15 editions published in 1982 in English and Dutch and held by 270 WorldCat member libraries worldwide
Stochastic Control by Functional Analysis Methods
15 editions published in 1982 in English and Dutch and held by 270 WorldCat member libraries worldwide
Stochastic Control by Functional Analysis Methods
Perturbation methods in optimal control by
Alain Bensoussan(
Book
)
14 editions published in 1988 in English and Undetermined and held by 265 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
14 editions published in 1988 in English and Undetermined and held by 265 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
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 256 WorldCat member libraries worldwide
13 editions published between 1981 and 1983 in 4 languages and held by 256 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
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 243 WorldCat member libraries worldwide
13 editions published between 1986 and 1987 in English and held by 243 WorldCat member libraries worldwide
Mathematical theory of production planning by
Alain Bensoussan(
Book
)
10 editions published in 1983 in English and held by 230 WorldCat member libraries worldwide
10 editions published in 1983 in English and held by 230 WorldCat member libraries worldwide
Advances in Hamiltonian systems(
Book
)
10 editions published in 1983 in English and Undetermined and held by 218 WorldCat member libraries worldwide
10 editions published in 1983 in English and Undetermined and held by 218 WorldCat member libraries worldwide
International Symposium on Systems Optimization and Analysis, Rocquencourt, December 1113, 1978 by
Alain Bensoussan(
Book
)
17 editions published in 1979 in English and French and held by 201 WorldCat member libraries worldwide
17 editions published in 1979 in English and French and held by 201 WorldCat member libraries worldwide
Dynamic programming and inventory control by
Alain Bensoussan(
Book
)
9 editions published in 2011 in English and held by 25 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 25 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
Mean field games and mean field type control theory by
Alain Bensoussan(
Book
)
9 editions published in 2013 in English and held by 22 WorldCat member libraries worldwide
Mean field games and Mean field type control introduce new problems in Control Theory. The terminology games may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems are not standard, since both the evolution of the state and the objective functional is influenced but terms which are not directly related to the state or the control of the decision maker. They are however, indirectly related to him, in the sense that they model a very large community of agents similar to the representative agent. All the agents behave similarly and impact the representative agent. However, because of the large number an aggregation effect takes place. The interesting consequence is that the impact of the community can be modeled by a mean field term, but when this is done, the problem is reduced to a control problem
9 editions published in 2013 in English and held by 22 WorldCat member libraries worldwide
Mean field games and Mean field type control introduce new problems in Control Theory. The terminology games may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems are not standard, since both the evolution of the state and the objective functional is influenced but terms which are not directly related to the state or the control of the decision maker. They are however, indirectly related to him, in the sense that they model a very large community of agents similar to the representative agent. All the agents behave similarly and impact the representative agent. However, because of the large number an aggregation effect takes place. The interesting consequence is that the impact of the community can be modeled by a mean field term, but when this is done, the problem is reduced to a control problem
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Related Identities
 Lions, J.L (JacquesLouis) 19282001 Author Editor
 Tapiero, Charles S. Editor
 Frehse, J. (Jens)
 Kleindorfer, Paul R. Editor
 Aubin, Jean Pierre Author Editor
 Papanicolaou, George
 Ekeland, I. (Ivar) 1944 Editor
 Verjus, J.P Editor
 Iria Laboria
 Näslund, Bertil 1933
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Associated Subjects
Approximation theory Automatic control Boundary value problemsNumerical solutions Calculus of variations Computeraided design Computer network architectures Computer science Computer simulation Control theory Decision making Differential equations, EllipticNumerical solutions Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equations, PartialAsymptotic theory Distribution (Probability theory) Dynamic programming Econometrics Electronic data processing Engineering Game theory Hamiltonian systems Industrial managementMathematical models Inequalities (Mathematics) Information theory Inventory controlData processing Management ManagementMathematical models Markov processes Mathematical optimization Mathematics Mean field theory Numerical analysis Operations research Operator theory Perturbation (Mathematics) Probabilities Production planningMathematical models Software engineering Stochastic analysis Stochastic control theory Stochastic processes Structural control (Engineering) System analysis System theory Variational inequalities (Mathematics)
Alternative Names
Alain Bensoussan fransk matematikar
Alain Bensoussan fransk matematiker
Alain Bensoussan franzsischer Mathematiker
Alain Bensoussan French mathematician
Bensoussan, A.
Bensoussan, A. 1940
Bensoussan, A. (Alain)
Bensusan, A.
Bensusan, A. (Alan)
Bensusan, Alan
Bensusan, Alan 1940
Бенсусан, А.
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