03192nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153050001200167050002000179072001700199072001600216072002300232072002300255082001500278100003700293245012400330264007500454300003300529336002600562337002600588338003600614347002400650490006600674505041900740520103201159650001702191650001702208650002802225650002502253650002402278650001702302650006202319650004502381650005602426710003402482773002002516776003602536830006602572856004802638978-3-319-19141-6DE-He21320180115171634.0cr nn 008mamaa150701s2015 gw | s |||| 0|eng d a97833191914167 a10.1007/978-3-319-19141-62doi 4aQA315-316 4aQA402.3 4aQA402.5-QA402.6 7aPBKQ2bicssc 7aPBU2bicssc 7aMAT0050002bisacsh 7aMAT0290202bisacsh04a515.642231 aZaslavski, Alexander J.eauthor.10aTurnpike Theory of Continuous-Time Linear Optimal Control Problemsh[electronic resource] /cby Alexander J. Zaslavski. 1aCham :bSpringer International Publishing :bImprint: Springer,c2015. aIX, 296 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aSpringer Optimization and Its Applications,x1931-6828 ;v1040 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. 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. 0aMathematics. 0aGame theory. 0aCalculus of variations. 0aOperations research. 0aManagement science.14aMathematics.24aCalculus of Variations and Optimal Control; Optimization.24aOperations Research, Management Science.24aGame Theory, Economics, Social and Behav. Sciences.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783319191409 0aSpringer Optimization and Its Applications,x1931-6828 ;v10440uhttp://dx.doi.org/10.1007/978-3-319-19141-6