α-Stability analysis of perturbed systems with multiple noncommensurate time delays

Author

Wang, Rong-Jyue ; Wang, Wen-June

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan

Volume

43

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

349

Lastpage

352

Abstract

In terms of the fundamental matrix and the Jordan canonical form of the system matrix A₀, a new and simple α-stability criterion for multiple noncommensurate time-delay systems is proposed. The criterion is sufficient to ensure that all roots of the system´s characteristic equation lie to the left of Re(s)=-α, α⩾0 and is also extended to the delay systems with parametric perturbations. It will be seen that if α is not equal to zero, the corresponding stability criteria depend on the delay time

Keywords

delay systems; matrix algebra; perturbation techniques; stability; stability criteria; α-stability analysis; Jordan canonical form; characteristic equation; fundamental matrix; multiple noncommensurate time delays; perturbed systems; system matrix; Delay effects; Delay systems; Linear matrix inequalities; Multidimensional signal processing; Multidimensional systems; Polynomials; Robust stability; Signal processing; Speech processing; Stability criteria;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.488818

Filename

488818