ON COMPUTING THE MAXIMAL DELAY INTERVALS FOR STABILITY OF LINEAR DELAY SYSTEMS

被引：90

作者：

CHEN, J

机构：

[1] College of Engineering, University of California, Riverside

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1995年 / 40卷 / 06期

关键词：

D O I：

10.1109/9.388690

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note is concerned with stability properties of linear time-invariant delay systems. We consider delay systems of both retarded and neutral types expressed in state-space forms. Our main goal is to provide a computation-oriented method for computing the maximal delay intervals over which the systems under consideration maintain stability. Our results show that this can be accomplished by computing the generalized eigenvalues of certain frequency-dependent matrices. Based on these results, we also state a necessary and sufficient condition concerning stability independent of delay for each of the retarded and neutral systems. Our results can be readily implemented and appear suitable for analyzing systems with high dimensions and many delay units.

引用

页码：1087 / 1093

页数：7

共 25 条

[1]

Bellman R., Cooke K.L., Differential-Difference Equations., (1963)

[2]

Bourles H., α-stability of systems governed by a functional differential equation-extension of results concerning linear delay systems, Int. J. Contr., 45, 6, pp. 2233-2234, (1987)

[3]

Brierley S.D., Chiasson J.N., Lee E.B., Zak S.H., On stability independent of delay for linear systems, IEEE Trans. Automat. Contr., AC-27, 1, pp. 252-254, (1982)

[4]

Chen J., On computing the maximal delay intervals for stability of linear delay systems, Proc. 1994 Amer. Contr. Conf., pp. 1934-1938, (1938)

[5]

Chen J., Latchman H.A., Asymptotic stability independent of delays: Simple necessary and sufficient conditions, Proc. 1994 Amer. Contr. Conf. Baltimore, pp. 1027-1031, (1994)

[6]

Chiasson J.N., A method for computing the interval of delay values for which a differential-delay system is stable, IEEE Trans. Automat. Contr., 33, 12, pp. 1176-1178, (1988)

[7]

Golub G.H., Van Loan C.F., Matrix Computations. Baltimore, (1983)

[8]

Gorecki H., Fuksa S., Grabowski P., Korytowski A., Analysis and Time Delay Systems., (1989)

[9]

Gu G., Lee E.B., Stability testing of time delay systems, Automatica, 35, 5, pp. 777-780, (1989)

[10]

Hale J.K., Theory of Functional Differential Equations., (1977)

← 1 2 3 →