04043nam 22006855 450 991029978690332120200704161710.03-319-19141-110.1007/978-3-319-19141-6(CKB)3710000000442855(EBL)3567495(SSID)ssj0001534564(PQKBManifestationID)11823028(PQKBTitleCode)TC0001534564(PQKBWorkID)11496478(PQKB)11074604(DE-He213)978-3-319-19141-6(MiAaPQ)EBC3567495(PPN)187690030(EXLCZ)99371000000044285520150701d2015 u| 0engur|n|---|||||txtccrTurnpike Theory of Continuous-Time Linear Optimal Control Problems /by Alexander J. Zaslavski1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (300 p.)Springer Optimization and Its Applications,1931-6828 ;104Description based upon print version of record.3-319-19140-3 Includes bibliographical references and index.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.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.Springer Optimization and Its Applications,1931-6828 ;104Calculus of variationsOperations researchManagement scienceGame theoryCalculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Operations Research, Management Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M26024Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Calculus of variations.Operations research.Management science.Game theory.Calculus of Variations and Optimal Control; Optimization.Operations Research, Management Science.Game Theory, Economics, Social and Behav. Sciences.519.3Zaslavski Alexander Jauthttp://id.loc.gov/vocabulary/relators/aut721713MiAaPQMiAaPQMiAaPQBOOK9910299786903321Turnpike theory of continuous-time linear optimal control problems1522682UNINA