The Relationship between the Stability and the Optimality of Linear Systems——Another Kind of the Inverse Problem of Linear Optimal Control

Chen Xiao-lin; Hwang Ling

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(2): 153-160

Chen Xiao-lin, Hwang Ling. The Relationship between the Stability and the Optimality of Linear Systems——Another Kind of the Inverse Problem of Linear Optimal Control[J]. Applied Mathematics and Mechanics, 1985, 6(2): 153-160.

Citation:

PDF( 477 KB)

The Relationship between the Stability and the Optimality of Linear Systems——Another Kind of the Inverse Problem of Linear Optimal Control

Department of Mechanics, Peking University, Beijing

Received Date: 1984-01-02
Publish Date: 1985-02-15

Abstract

Abstract

Different from the inverse problem put forward by R. E. Kalman, another kind ofinverse problem of linear optimal control is proposed and dicussed in this paper.

FullText(HTML)

References(7)

References

[1]	Kalman,R.E.,When is a linear control system optimal,ASME J.Basic Engineering,March(1964).
[2]	Anderson,B.D.O.,The Inverse problem of optimal control.Rept.No.SEL-66-038(TR.No.6560-3),Standford electronics Laboratories,Standford,Clif.,May(1966).
[3]	Anderson,B.D.O.Nonlinear regulator theory and an inverse optimal problem.IEEE Trans.Automatic Control,AC-18(1973).
[4]	Wonham,W.M.,Linear Multivariable Control,Spring-Verlag,(1974).
[5]	黄琳、郑应平、张迪,李雅普诺夫第二方法与最优控制器分析设计问题,自动化学报,4 (1964).
[6]	Hwang Ling,Generating element and controllability,Proceedings of the Bilateral Meeting on Control Systems(P.R.C.and U.S.A.),Science Press,Beijing(1982).
[7]	黄琳,《控制与系统理论中的线性代数》,科学出版社,北京(1983).