The Optimal Control of Delay Control Systems with Restricted State Right Endpoint

Jiang Wei; Zheng Zuxiu

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Jiang Wei, Zheng Zuxiu. The Optimal Control of Delay Control Systems with Restricted State Right Endpoint[J]. Applied Mathematics and Mechanics, 1997, 18(9): 813-817.

Citation:

Jiang Wei, Zheng Zuxiu. The Optimal Control of Delay Control Systems with Restricted State Right Endpoint[J]. Applied Mathematics and Mechanics, 1997, 18(9): 813-817.

Citation:

Jiang Wei, Zheng Zuxiu. The Optimal Control of Delay Control Systems with Restricted State Right Endpoint[J]. Applied Mathematics and Mechanics, 1997, 18(9): 813-817.

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The Optimal Control of Delay Control Systems with Restricted State Right Endpoint

Jiang Wei¹,
Zheng Zuxiu²

1.
Department of Administration, Anhui University, Hefei 230039, P. R. China;
2.
Department of Mathematics, Anhui University, Hefei 230039, P. R. China

Received Date: 1996-09-16
Rev Recd Date: 1997-04-28
Publish Date: 1997-09-15

Abstract

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 φ_k=[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.
- delay control system,
- restricted state right endpoint,
- maximum principle

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References(4)

References

[1]	谢绪恺,《现代控制理论基础》,辽宁人民出版社,沈阳(1981).
[2]	王照林,《现代控制理论基础》,国防工业出版社,北京(1981).
[3]	D,H,Chyung and E,Brucelee,Linear optimal systems with time delays,J.Siam Control,4(3)(1966),548-575.
[4]	刘永清、唐功友,《大型动力系统的理论与应用》(卷3),华南理工大学出版社,广州(1992).