Abstract
This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality.
Highlights
The problem of delay-dependent stability analysis for time-delay systems has received considerable attention, and lots of significant results have been reported; see, for example, Chen et al 1, He et al 2, Lin et al 3, Park 4, and Xu and Lam 5, and the references therein
We note that the delay-dependent stability problem for discrete-time systems with interval-like time-varying delays i.e., the delay d k satisfies 0 < dm ≤ d k ≤ dM has been studied by Fridman and Shaked 6, Gao and Chen 7, Gao et al 8, and Jiang et al 9, where some LMI-based stability criteria have been presented by constructing appropriate Lyapunov functionals and introducing free-weighting matrices
The present study, based on a new Lyapunov functional, an improved delaydependent stability criterion for discrete-time systems with time-varying delays is presented in terms of LMIs
Summary
The problem of delay-dependent stability analysis for time-delay systems has received considerable attention, and lots of significant results have been reported; see, for example, Chen et al 1 , He et al 2 , Lin et al 3 , Park 4 , and Xu and Lam 5 , and the references therein. The present study, based on a new Lyapunov functional, an improved delaydependent stability criterion for discrete-time systems with time-varying delays is presented in terms of LMIs. It is shown that the obtained result is less conservative than those by Fridman and Shaked 6 , Gao and Chen 7 , Gao et al 8 , Jiang et al 9 , and Zhang et al 12
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