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OPTIMAL CONTROL PROBLEM OF PARABOLIC DIFFERENTIAL EQUATION WITH TWO POINT BOUNDARY CONDITION

OPTIMAL CONTROL PROBLEM OF PARABOLIC DIFFERENTIAL EQUATION WITH TWO POINT BOUNDARY CONDITION
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摘要 This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations. Moreover, the technique used in this paper is based on some smooth approximations of 'tangent cones' in the sense of Clarke and some maximal monotone operators. This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations. Moreover, the technique used in this paper is based on some smooth approximations of 'tangent cones' in the sense of Clarke and some maximal monotone operators.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第2期138-147,共10页 数学物理学报(B辑英文版)
关键词 maximal monotone graph tangent cone OPTIMALITY CONTROL maximal monotone graph tangent cone optimality control
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