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035   $a(DE-He213)978-3-319-95363-2
035   $a(PPN)229916627
035   $a(EXLCZ)994100000005958479
100   $a20180822d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTime Optimal Control of Evolution Equations /$fby Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (344 pages)
225 1 $aPNLDE Subseries in Control ;$v92
311   $a3-319-95362-1 
327   $aPreface -- Mathematical Preliminaries -- Time Optimal Control Problems -- Existence of Admissible Groups and Optimal Groups -- Maximum Principle of Optimal Groups -- Equivalence of Several Kinds of Optimal Controls -- Bang-Bang Properties of Optimal Groups -- References.
330   $aThis monograph develops a framework for time-optimal control problems, focusing on minimal and maximal time-optimal controls for linear-controlled evolution equations. Its use in optimal control provides a welcome update to Fattorini?s work on time-optimal and norm-optimal control problems. By discussing the best way of representing various control problems and equivalence among them, this systematic study gives readers the tools they need to solve practical problems in control. After introducing preliminaries in functional analysis, evolution equations, and controllability and observability estimates, the authors present their time-optimal control framework, which consists of four elements: a controlled system, a control constraint set, a starting set, and an ending set. From there, they use their framework to address areas of recent development in time-optimal control, including the existence of admissible controls and optimal controls, Pontryagin?s maximum principle for optimal controls, the equivalence of different optimal control problems, and bang-bang properties. This monograph will appeal to researchers and graduate students in time-optimal control theory, as well as related areas of controllability and dynamic programming. For ease of reference, the text itself is self-contained on the topic of time-optimal control. Frequent examples throughout clarify the applications of theorems and definitions, although experience with functional analysis and differential equations will be useful.
410  0$aPNLDE Subseries in Control ;$v92
606   $aSystem theory
606   $aAutomatic control
606   $aEngineering mathematics
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
615  0$aSystem theory.
615  0$aAutomatic control.
615  0$aEngineering mathematics.
615 14$aSystems Theory, Control.
615 24$aControl and Systems Theory.
615 24$aEngineering Mathematics.
676   $a515.353
700   $aWang$b Gengsheng$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756040
702   $aWang$b Lijuan$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aXu$b Yashan$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aZhang$b Yubiao$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300132503321
996   $aTime Optimal Control of Evolution Equations$91912863
997   $aUNINA