Generalized Quadratic Stability for Perturbated Singular Systems

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with host publication)peer-review

17 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Title of host publication42nd IEEE Conference on Decision and Control
Place of PublicationUSA
Pages2413-2418
Volume3
Publication statusPublished - Dec 2003

Conference

Title42nd IEEE Conference on Decision and Control
PlaceUnited States
CityMaui, HI
Period9 - 12 December 2003

Abstract

This paper considers the generalized quadratic stability problem for continuous-time singular systems with nonlinear perturbation. The perturbation is a function of time and system state and satisfies a Lipschitz constraint. In this work, a sufficient condition for the existence and uniqueness of solution to the singular systems is firstly presented. Then by using S-procedure and matrix inequality approach, a necessary and sufficient condition is presented in terms of linear matrix inequality, under which the maximal perturbation bound is obtained to guarantee the generalized quadratic stability of the system. That is, the system remains exponential stable and the nominal system is regular and impulse free. Furthermore, robust stability for nonsingular systems with perturbation can be obtained as a special case. Finally, the effectiveness of the developed approach is illustrated by a numerical example.

Citation Format(s)

Generalized Quadratic Stability for Perturbated Singular Systems. / Lu, Guoping; Ho, Daniel W.C.; Yeung, L. F.
42nd IEEE Conference on Decision and Control. Vol. 3 USA, 2003. p. 2413-2418.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with host publication)peer-review