IJPAM: Volume 93, No. 3 (2014)

IMPROVED DELAY-RANGE-DEPENDENT STABILITY
CRITERIA FOR DISCRETE-TIME LINEAR SYSTEMS
WITH INTERVAL TIME-VARYING DELAY
AND NONLINEAR PERTURBATIONS

Cheerapong Singkibud$^1$, Kanit Mukdasai$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen 40002, THAILAND


Abstract. In this paper, we study the problem of stability analysis for discrete-time linear system with interval time-varying delay and nonlinear perturbations. By constructing a new Lyapunov-Krasovskii functional with triple summation terms, mixed model transformation, Jensen-type summation inequality and utilization of zero equation, new delay-range-dependent asymptotic stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs). Moreover, we obtain new delay-range-dependent asymptotic stability criteria of discrete-time linear system with interval time-varying delay. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Received: March 1, 2014

AMS Subject Classification: 26D15, 34D20, 34K20, 37B25, 37C75, 37D40.

Key Words and Phrases: delay-range-dependent stability criteria, discrete-time linear system, interval time-varying delay, nonlinear perturbations, model transformation, linear matrix inequality

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DOI: 10.12732/ijpam.v93i3.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 3
Pages: 427 - 447

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).