TY  - BOOK
AU  - Zaslavski,Alexander J.
ED  - SpringerLink (Online service)
TI  - Turnpike Theory of Continuous-Time Linear Optimal Control Problems
T2  - Springer Optimization and Its Applications,
SN  - 9783319191416
AV  - QA315-316 
U1  - 515.64 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Game theory
KW  - Calculus of variations
KW  - Operations research
KW  - Management science
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Operations Research, Management Science
KW  - Game Theory, Economics, Social and Behav. Sciences
N1  - Preface -- 1. Introduction -- 2. Control systems with periodic convex integrands -- 3. Control systems with non convex integrands -- 4. Stability properties -- 5. Linear control systems with discounting -- 6. Dynamic zero-sum games with linear constraints -- 7. Genericity results -- 8. Variational problems with extended-value integrands -- 9. Dynamic games with extended-valued integrands -- References -- Index
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-19141-6
ER  -