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THE INFINITE DIMENSIONAL RICCATI EQUATIONS FOR OPTIMAL CONTROL PROBLEMS
Author(s): Chen Shuping
Pages: 64-
72
Year: 1985
Issue:
4
Journal: Control Theory & Applications
Keyword: Riccati; 分布参数系统; 无限维; 最优控制问题; 解的存在唯一性; 集中参数系统; 有限维; 积分方程; 最优滤波; 反馈控制;
Abstract: In this paper, we devclopc is new approach to the investigation of the infinirc dimensional Riccati equations. It is shown that the Riccati integral equation is equivalent to a linear Fredholm integral equation which can be handled easily. Upon this, a finite dimensional approximation theorem and other applications arc given.
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