A class of optimal control problems of systemsgoverned by the first order linear dynamic equations on time scales
A class of optimal control problems of systemsgoverned by the first order linear dynamic equations on time scales
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DOI：
10.3934/jimo.2009.5.1
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发表时间：
2008-12
影响因子：
1.3
通讯作者：
Y. Gong;X. Xiang
中科院分区：
文献类型：
--
作者：
Y. Gong;X. Xiang
本文主要研究一类时标上一阶线性动态方程所支配的系统的最优控制问题。引入一阶线性动力方程的弱解，给出时标上的Arzela-Ascoli定理，证明了一类时标上线性二次型最优控制问题解的存在性.
This paper is mainly concerned with a class of optimal control problems of systems governed by the first order linear dynamic equations on time scales with quadratic cost functionals. Introducing the weak solutions of the first order linear dynamic equations and presenting the Arzela-Ascoli theorem on time scales, we prove the existence of solution to a class of linear quadratic optimal control problems on time scales.