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024 7 $a10.1007/978-3-319-19141-6
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100   $a20150701d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTurnpike Theory of Continuous-Time Linear Optimal Control Problems /$fby Alexander J. Zaslavski
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (300 p.)
225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v104
300   $aDescription based upon print version of record.
311   $a3-319-19140-3 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $aIndividual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems.  The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control, and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous nonconvex and nonsmooth integrands.  Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.
410  0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v104
606   $aCalculus of variations
606   $aOperations research
606   $aManagement science
606   $aGame theory
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024
606   $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011
615  0$aCalculus of variations.
615  0$aOperations research.
615  0$aManagement science.
615  0$aGame theory.
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aOperations Research, Management Science.
615 24$aGame Theory, Economics, Social and Behav. Sciences.
676   $a519.3
700   $aZaslavski$b Alexander J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721713
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299786903321
996   $aTurnpike theory of continuous-time linear optimal control problems$91522682
997   $aUNINA