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Optimal Impulsive Control
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kr 320
Optimal Impulsive Control
Optimal Impulsive Control explores the class of impulsive dynamic optimization problems-problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting-which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. 

The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin''s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints.

The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
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Optimal Impulsive Control explores the class of impulsive dynamic optimization problems-problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting-which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. 

The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin''s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints.

The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
Produktdetaljer
Sprog: Engelsk
Sider: 174
ISBN-13: 9783030022594
Indbinding: Hardback
Udgave:
ISBN-10: 3030022595
Udg. Dato: 8 jan 2019
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 8 jan 2019
Forfatter(e) Dmitry Karamzin, Aram Arutyunov, Fernando Lobo Pereira


Kategori Kybernetik og systemteori


Sprog Engelsk


Indbinding Hardback


Sider 174


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 8 jan 2019


Oplagsdato 8 jan 2019

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