Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (9): 871-876.

• 论文 • 上一篇    下一篇

THE OPTIMAL CONTROL OF DELAY CONTROL SYSTEMS WITH RESTRICTED STATE RIGHT ENDPOINT

蒋威1, 郑祖庥2   

  1. 1. Department of Administration. Anhui University, Hefei 230039, P. R. China;
    2. Department of Mathematics.Anhui University, Hefei 230039, P. R. China
  • 收稿日期:1996-09-02 修回日期:1997-04-28 出版日期:1997-09-18 发布日期:1997-09-18
  • 基金资助:
    Project supported by the NSFC and the SFC of Anhui Educational Committee

THE OPTIMAL CONTROL OF DELAY CONTROL SYSTEMS WITH RESTRICTED STATE RIGHT ENDPOINT

Jiang Wei1, Zheng Zuxiu2   

  1. 1. Department of Administration. Anhui University, Hefei 230039, P. R. China;
    2. Department of Mathematics.Anhui University, Hefei 230039, P. R. China
  • Received:1996-09-02 Revised:1997-04-28 Online:1997-09-18 Published:1997-09-18
  • Supported by:
    Project supported by the NSFC and the SFC of Anhui Educational Committee

摘要: In this paper, for the delay control system: x(t)=f[x(t),x(t-1),u(t),t] t∈[t0,t1] x(t)=φ(t) t∈[t0,t1] with State right endpoint restricled by condition φk=[x(t1)]=0 (k=1,2,…,l) a maximum principle is given. And as a specificexample. this paper gives a maximumprinciple under the condition that partial states right endpoints be completely fixed.Finally , this paper gives an example to explain the application of the main result ofthis paper. All the results are suitable for the control systems with multidelay as well.

关键词: delay control system, restricted state right endpoint, maximum principle

Abstract: In this paper, for the delay control system: x(t)=f[x(t),x(t-1),u(t),t] t∈[t0,t1] x(t)=φ(t) t∈[t0,t1] with State right endpoint restricled by condition φk=[x(t1)]=0 (k=1,2,…,l) a maximum principle is given. And as a specificexample. this paper gives a maximumprinciple under the condition that partial states right endpoints be completely fixed.Finally , this paper gives an example to explain the application of the main result ofthis paper. All the results are suitable for the control systems with multidelay as well.

Key words: delay control system, restricted state right endpoint, maximum principle

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