Turnpike theory of continuous-time linear optimal control problems [electronic resource] / Alexander J. Zaslavski.

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Turnpike theory of continuous-time linear optimal control problems [electronic resource] / Alexander J. Zaslavski.

9783319191416 electronic book
3319191411 electronic book
9783319191409
3319191403

Cham : Springer, 2015.

English

1 online resource (ix, 296 p.)

QA402.5

519.6
510

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.

Includes bibliographical references and index.

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Description based on print version record.

Springer optimization and its applications ; volume 104.

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