OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (S1): 78-87.

OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

项筱玲

Department of Mathematics, Guizhou University, Guiyang 550025, China

收稿日期:1992-07-28 出版日期:1994-12-31 发布日期:1994-12-31
基金资助:
This work was supported by the Science Commission of Guizhou Province,P.R.China.

OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

Xiang Xiaoling

Department of Mathematics, Guizhou University, Guiyang 550025, China

Received:1992-07-28 Online:1994-12-31 Published:1994-12-31
Supported by:
This work was supported by the Science Commission of Guizhou Province,P.R.China.

摘要/Abstract

摘要： In this paper, we use relaxation theory to study a class of relaxed infinite dimensional uncertain systems.We obtained the exisence and some important properties of solutions of relaxed systems first. Then the existence of optimal control of relaxed systems with a correspondingly relaxed cost functional was proved. Lastly, we showed that under some assumptions the set of original trajectories is dense in the set of relaxed trajectories and the relaxed control problem is equivalent to the original one.

关键词: Optimal control, Uncertain systems, Relaxation

Abstract: In this paper, we use relaxation theory to study a class of relaxed infinite dimensional uncertain systems.We obtained the exisence and some important properties of solutions of relaxed systems first. Then the existence of optimal control of relaxed systems with a correspondingly relaxed cost functional was proved. Lastly, we showed that under some assumptions the set of original trajectories is dense in the set of relaxed trajectories and the relaxed control problem is equivalent to the original one.

Key words: Optimal control, Uncertain systems, Relaxation

项筱玲. OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS[J]. 数学物理学报(英文版), 1994, 14(S1): 78-87.

Xiang Xiaoling. OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS[J]. Acta mathematica scientia,Series B, 1994, 14(S1): 78-87.

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OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

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