D-stability of continuous time-delay systems subjected to a class of highly structured perturbations

Author

Lee, Chien-Hua

Author_Institution

Dept. of Electr. Eng., Kung Shan Inst. of Technol. & Commerce, Tainan, Taiwan

Volume

40

Issue

10

fYear

1995

fDate

10/1/1995 12:00:00 AM

Firstpage

1803

Lastpage

1807

Abstract

The D-stability testing problem for continuous time-delay systems subjected to a class of highly structured parametric perturbations is addressed in this note. By means of the Lyapunov stability theorem, Razumikhin-type theorem, Gersgorin theorem, concept of spectral radius, and norm and matrix measure techniques, the author has developed several new sufficient conditions for guaranteeing that all characteristic roots of the above systems are located inside a specified disk D(α,r) with center at α+j0 and radius r in the left-half complex plane. For the present results, it is not necessary to solve any Lyapunov equation which may be unsolvable though the Lyapunov stability theorem is utilized

Keywords

Lyapunov methods; delay systems; stability; D-stability; Gersgorin theorem; Lyapunov stability theorem; Razumikhin-type theorem; characteristic roots; continuous time-delay systems; highly structured perturbations; left-half complex plane; matrix measure techniques; spectral radius; sufficient conditions; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Feedback control; History; Kinematics; Lyapunov method; Robotics and automation; Robust control; Space vehicles;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.467668

Filename

467668