Some Problems Associated with the Disturbed Matrix Lyapunov Equation for Linear Time-lnvarint Discrete Systems

Huang Lin; Zhu Wei-ling

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(1): 93-101

Huang Lin, Zhu Wei-ling. Some Problems Associated with the Disturbed Matrix Lyapunov Equation for Linear Time-lnvarint Discrete Systems[J]. Applied Mathematics and Mechanics, 1983, 4(1): 93-101.

Citation:

Huang Lin, Zhu Wei-ling. Some Problems Associated with the Disturbed Matrix Lyapunov Equation for Linear Time-lnvarint Discrete Systems[J]. Applied Mathematics and Mechanics, 1983, 4(1): 93-101.

Citation:

Huang Lin, Zhu Wei-ling. Some Problems Associated with the Disturbed Matrix Lyapunov Equation for Linear Time-lnvarint Discrete Systems[J]. Applied Mathematics and Mechanics, 1983, 4(1): 93-101.

PDF( 550 KB)

Some Problems Associated with the Disturbed Matrix Lyapunov Equation for Linear Time-lnvarint Discrete Systems

Mechanics Department, Beijing University, Beijing

Received Date: 1982-01-21
Publish Date: 1983-02-15

Abstract

Abstract

Both the Lyapvnov stability and Popov's hypex-stability of discrete linear time-invariant system in case of system parameter disturbance are discussed in this paper. The allowable disturbance ranges are given so that the maintenance of the Lyapunov stability and the Popov's hyperstability of a discrete linear system is guaranteed. The results find their significance in the MRAC.

FullText(HTML)

References(8)

References

[1]	黄琳,《系统与控制理论中的线性代数》,即将出版,科学出版社,北京.
[2]	Narendra,K.S.,Adaptive Control——MRAC,Lecture Notes of the Lecture Delivered in Nanjing Institute of Technology,Sept.(1981).
[3]	Narendra,K.S.and L.S.Valavani,A comparison of Lyapunov and hyperstability approaches of adaptive control of continuous systems,IEEE Trans.on Ac-25,(1980).
[4]	Anderson,B.D.O.,A simplified viewpoint of hyperstability,IEEE Trans.on AC-13,(1968).
[5]	Kalman,R.E.,Lyapunov function for the problem of Lure in automatic control,Proc.of the NAS of the U.S.A.,(1963).
[6]	Landau,Y.D.,Adaptive Control,Model Reference Approach.
[7]	黄琳,郑应平,李亚普诺夫第二方法与多变量线性系统,《控制理论会议文集》,厦门,科学出版社,北京,(1979).
[8]	Zhu Wei-ling(朱伟灵) and Hwang Ling(黄琳),Some problems concerning the hyperstability theory in design of adaptive control,Proceedings of the Biannual Meeting on Control Systems,Shanghai,(1981).