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200 10$aTurnpike Conditions in Infinite Dimensional Optimal Control  /$fby Alexander J. Zaslavski
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (578 pages)
225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v148
311 08$a3-030-20177-5 
327   $aPreface -- 1. Introduction -- 2. Discrete-time autonomous problems -- 3. Discrete-time nonautonomous problems on half-axis -- 4. Discrete-time nonautonomous problems on axis -- 5. Continuous-time autonomous problems -- 6. Continuous-time nonautonomous problems on half-axis -- 7. Continuous-time nonautonomous problems on axis.
330   $aThis book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.
410  0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v148
606   $aCalculus of variations
606   $aDifferential equations, Partial
606   $aFunctional analysis
606   $aGroup theory
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
615  0$aCalculus of variations.
615  0$aDifferential equations, Partial.
615  0$aFunctional analysis.
615  0$aGroup theory.
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aPartial Differential Equations.
615 24$aFunctional Analysis.
615 24$aGroup Theory and Generalizations.
676   $a629.8312
676   $a629.8312
700   $aZaslavski$b Alexander J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721713
906   $aBOOK
912   $a9910349323203321
996   $aTurnpike Conditions in Infinite Dimensional Optimal Control$91733810
997   $aUNINA