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非自治半线性发展系统的近似可控性(英文)
引用本文:张著洪. 非自治半线性发展系统的近似可控性(英文)[J]. 贵州师范大学学报(自然科学版), 2000, 0(2)
作者姓名:张著洪
作者单位:贵州大学数学系!贵州贵阳550025
基金项目:ProjectsSupportedbyGuizhouUniversityNaturalScienceFoundation(980 0 2 )
摘    要:利用线性发展系统的可控性及分数次幂算子的性质研究了非自治半线性发展系统的的近似可控性。这对探讨最优控制问题有极其重要的借鉴作用

关 键 词:阿达玛可微  近似右可逆  发展算子  广义隐函数定理  Frechlet(Gateaux)可微

Approximate Controllability For A class of Nonautonomous Semilinear Systems
ZHANG Zhu hong. Approximate Controllability For A class of Nonautonomous Semilinear Systems[J]. Journal of Guizhou Normal University(Natural Sciences), 2000, 0(2)
Authors:ZHANG Zhu hong
Abstract:In this paper, we study approximate controllability for a class of semilinear evolution systems. With the help of linear evolution systems and some properties of fractional power operators, we establish some meaningful controllability properties, which is very useful in the optimal control problem governed by parabolic evolution systems.
Keywords:Hadamard differentiable   Generalized implicit theorem   Approximately right invertible   Evolution equations
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