On computing the maximal delay intervals for stability of linear delay systems

Author

Chen, Jie

Author_Institution

Coll. of Eng., California Univ., Riverside, CA, USA

Volume

2

fYear

1994

fDate

29 June-1 July 1994

Firstpage

1934

Abstract

This paper is concerned with stability properties of linear time-invariant delay systems. The author considers both retarded and neutral delay systems expressed in state space form. The author´s main goal is to provide a method for computing the maximal delay intervals for which the systems under consideration maintain stability. The author´s results show that this can be accomplished by computing the generalized eigenvalues of certain frequency-dependent matrices. Based on these results, the author also states an improved necessary and sufficient condition concerning stability independent of delay for each of the retarded and neutral systems. The author´s results appear to be simpler and may be implemented more easily than those developed elsewhere.

Keywords

delay systems; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; frequency-dependent matrices; generalized eigenvalues; linear time-invariant delay systems; maximal delay intervals; necessary and sufficient condition; neutral delay systems; retarded delay systems; stability properties; state space form; Delay effects; Delay lines; Delay systems; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Frequency; Stability; State-space methods; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.752412

Filename

752412