Turnpike Theory of Continuous-Time Linear Optimal Control Problems: 104 (Springer Optimization and Its Applications, 104) - Hardcover

Book 96 of 176: Springer Optimization and Its Applications

Zaslavski, Alexander J.

 
9783319191409: Turnpike Theory of Continuous-Time Linear Optimal Control Problems: 104 (Springer Optimization and Its Applications, 104)

Synopsis

Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis.

Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous convex smooth integrands.  Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.

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From the Back Cover

Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control, and in applied functional analysis.

Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous nonconvex and nonsmooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783319366630: Turnpike Theory of Continuous-Time Linear Optimal Control Problems: 104 (Springer Optimization and Its Applications, 104)

Featured Edition

ISBN 10:  3319366637 ISBN 13:  9783319366630
Publisher: Springer, 2016
Softcover