Abstract
The asymptotic stability of discrete-time interval system with delay is discussed. A new sufficient condition for preserving the asymptotic stability of the system is presented by means of the inequality techniques. By mathematical analysis, the stability criterion is less conservative than that in previous result. Finally, one example is given to demonstrate the applicability of the present scheme.
Highlights
IntroductionThe stability analysis of interval system is very useful for the robustness analysis of nominally stable system subject to model perturbations
A new sufficient condition for preserving the asymptotic stability of the system is presented by means of the inequality techniques
One example is given to demonstrate the applicability of the present scheme
Summary
The stability analysis of interval system is very useful for the robustness analysis of nominally stable system subject to model perturbations. There has been considerable interest in the stability analysis of interval system in literature 1–15 , and references therein. Those approaches can be classified into two categories: the first is the polynomial and the second is the matrix approach. The stability analysis for interval systems with delays becomes more complicated. In 6 , a sufficient condition for the stability of discrete-time systems is given in terms of pulse-response sequence matrix. In 11 , based on the Gersgorin theorem, the stability testing problem for continuous and discrete systems including a time delay is discussed. The objective of this paper is to deal with the asymptotic stability of a discrete-time interval system with delay. An example is given to compare the proposed method with one reported
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