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时标上动力系统的最优控制问题(英文)
Optimal Control Problem of Dynamic Systems on Time Scales
【摘要】 主要给出了时标上线性动力方程所决定的一类Lagrange问题最优控制的存在性。控制函数空间包括自反和非自反两种情形,并给出了在非自反空间中较易验证的弱紧性条件。
【Abstract】 A class of optimal control problem of systems governed by the linear dynamic equations on time scales was studed.For the control spaces,two cases were considered: reflexive space and non-reflexive space.At the same time,the condition of weak compactness which is easier to verify was also given in non-reflexive space.
【关键词】 时标;
LebesgueΔ-积分;
弱解;
最优控制;
存在性;
【Key words】 time scales; Lebesgue; Δ-integral; weak solution; optimal control; existence;
【Key words】 time scales; Lebesgue; Δ-integral; weak solution; optimal control; existence;
【基金】 国家自然科学基金(10661004)
- 【文献出处】 贵州大学学报(自然科学版) ,Journal of Guizhou University(Natural Science Edition) , 编辑部邮箱 ,2010年03期
- 【分类号】O231.1
- 【被引频次】1
- 【下载频次】60