Author: Alain Bensoussan
Publisher: Wiley
ISBN: 9780471919940
Category : Mathematics
Languages : en
Pages : 588
Book Description
Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
Perturbation Methods in Optimal Control
Author: Alain Bensoussan
Publisher: Wiley
ISBN: 9780471919940
Category : Mathematics
Languages : en
Pages : 588
Book Description
Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
Publisher: Wiley
ISBN: 9780471919940
Category : Mathematics
Languages : en
Pages : 588
Book Description
Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
Perturbation Methods in Optimal Control
Author: P. M. Naylor
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Singular Perturbation Methodology in Control Systems
Author: Desineni S. Naidu
Publisher: IET
ISBN: 9780863411076
Category : Technology & Engineering
Languages : en
Pages : 314
Book Description
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
Publisher: IET
ISBN: 9780863411076
Category : Technology & Engineering
Languages : en
Pages : 314
Book Description
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
Singular Perturbation Methods in Control
Author: Petar Kokotovic
Publisher: SIAM
ISBN: 0898714443
Category : Mathematics
Languages : en
Pages : 379
Book Description
This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.
Publisher: SIAM
ISBN: 0898714443
Category : Mathematics
Languages : en
Pages : 379
Book Description
This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.
Problems and Methods of Optimal Control
Author: L.D. Akulenko
Publisher: Springer Science & Business Media
ISBN: 9401111944
Category : Mathematics
Languages : en
Pages : 358
Book Description
The numerous applications of optimal control theory have given an incentive to the development of approximate techniques aimed at the construction of control laws and the optimization of dynamical systems. These constructive approaches rely on small parameter methods (averaging, regular and singular perturbations), which are well-known and have been proven to be efficient in nonlinear mechanics and optimal control theory (maximum principle, variational calculus and dynamic programming). An essential feature of the procedures for solving optimal control problems consists in the necessity for dealing with two-point boundary-value problems for nonlinear and, as a rule, nonsmooth multi-dimensional sets of differential equations. This circumstance complicates direct applications of the above-mentioned perturbation methods which have been developed mostly for investigating initial-value (Cauchy) problems. There is now a need for a systematic presentation of constructive analytical per turbation methods relevant to optimal control problems for nonlinear systems. The purpose of this book is to meet this need in the English language scientific literature and to present consistently small parameter techniques relating to the constructive investigation of some classes of optimal control problems which often arise in prac tice. This book is based on a revised and modified version of the monograph: L. D. Akulenko "Asymptotic methods in optimal control". Moscow: Nauka, 366 p. (in Russian).
Publisher: Springer Science & Business Media
ISBN: 9401111944
Category : Mathematics
Languages : en
Pages : 358
Book Description
The numerous applications of optimal control theory have given an incentive to the development of approximate techniques aimed at the construction of control laws and the optimization of dynamical systems. These constructive approaches rely on small parameter methods (averaging, regular and singular perturbations), which are well-known and have been proven to be efficient in nonlinear mechanics and optimal control theory (maximum principle, variational calculus and dynamic programming). An essential feature of the procedures for solving optimal control problems consists in the necessity for dealing with two-point boundary-value problems for nonlinear and, as a rule, nonsmooth multi-dimensional sets of differential equations. This circumstance complicates direct applications of the above-mentioned perturbation methods which have been developed mostly for investigating initial-value (Cauchy) problems. There is now a need for a systematic presentation of constructive analytical per turbation methods relevant to optimal control problems for nonlinear systems. The purpose of this book is to meet this need in the English language scientific literature and to present consistently small parameter techniques relating to the constructive investigation of some classes of optimal control problems which often arise in prac tice. This book is based on a revised and modified version of the monograph: L. D. Akulenko "Asymptotic methods in optimal control". Moscow: Nauka, 366 p. (in Russian).
The Application of Singular Perturbation Methods to Optimal Control Problems in Flight Mechanics
Author: Yung-Nan Hu
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 308
Book Description
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 308
Book Description
Singular Perturbation Analysis of Discrete Control Systems
Author: Desineni S. Naidu
Publisher: Springer
ISBN: 3540396810
Category : Science
Languages : en
Pages : 204
Book Description
Publisher: Springer
ISBN: 3540396810
Category : Science
Languages : en
Pages : 204
Book Description
Perturbation Methods in Science and Engineering
Author: Reza N. Jazar
Publisher: Springer Nature
ISBN: 3030734625
Category : Technology & Engineering
Languages : en
Pages : 584
Book Description
Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.
Publisher: Springer Nature
ISBN: 3030734625
Category : Technology & Engineering
Languages : en
Pages : 584
Book Description
Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.
Optimal Control of Nonlinear Processes
Author: Dieter Grass
Publisher: Springer Science & Business Media
ISBN: 3540776478
Category : Business & Economics
Languages : en
Pages : 552
Book Description
Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.
Publisher: Springer Science & Business Media
ISBN: 3540776478
Category : Business & Economics
Languages : en
Pages : 552
Book Description
Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.
The Solution of Nonlinear Optimal Control Problems Via Poincare's Perturbation Method
Author: Michael Vaughn Hetrick
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 86
Book Description
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 86
Book Description