| OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED PARAMETER DELAY SYSTEMS |
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| 作者姓名： | XIANG Xiao ling |
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| 作者单位： | Department of Mathematics，Guizhou University，Guiyang 550025，China |
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| 摘 要： | 1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...
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OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED PARAMETER DELAY SYSTEMS |
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| XIANG Xiao ling.OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED PARAMETER DELAY SYSTEMS[J].Journal of Systems Science and Complexity,2000(1). |
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| Authors: | XIANG Xiao ling |
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| Abstract: | In this paper we consider the optimal control problem for a class of infinite dimensional delay evolution systems whose principal operator is the infinitesimal generator of an analytic semigroup. We give an existence result of or - solutions of the controlled systems and prove the existence of solutions for an extremal problem subject to such systems. In particular, the necessary conditions of optimality for the same problem are presented. |
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| Keywords: | Analytic semigroup fractional power space time lag optimal control adjoint semigroup necessary conditions |
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