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

C. Singkibud, K. Mukdasai
2014 International Journal of Pure and Applied Mathematics  
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
more » ... 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.
doi:10.12732/ijpam.v93i3.12 fatcat:fsrne3lgyvhmrc2khrxalufiiq