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

2014 ◽  
Vol 93 (3) ◽  
Author(s):  
C. Singkibud ◽  
K. Mukdasai
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Interval Time ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Time Linear

scholarly journals Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Kuang-Yow Lian ◽  
Wen-Tsung Yang ◽  
Peter Liu
Keyword(s):  
Lyapunov Function ◽  
Discrete Time ◽  
Time Varying ◽  
Stability Criteria ◽  
Discrete Time System ◽  
Interval Time ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Varying Delay

We demonstrate an improved stability analysis based on a partition oriented technique for discrete-time systems with interval time-varying delay. The partition oriented technique introduces beneficial terms contributing to the negative definiteness of the Lyapunov function difference, meanwhile completely avoiding traditional inequality based approaches. In contrast, nonpartitioning oriented techniques do not put emphasis on further dividing the interval of the summation in the Lyapunov function. Herein, we demonstrate that the advantages of exploiting partitioning techniques manifest the relaxed stability criteria, as well as the flexibility to tune tradeoff between allowable timedelay range performance and computational load. Simulation carried out on a benchmark discrete-time system reveals the significant improvement in terms of maximum allowable upper bound in comparison.

New delay-range-dependent robust exponential stability criteria for uncertain linear systems with discrete interval and distributed time-varying delays and nonlinear perturbations

2015 ◽  
Vol 08 (03) ◽  
pp. 1550061
Author(s):  
Pornthip Somchai ◽  
Kanit Mukdasai
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Robust Exponential Stability ◽  
Time Varying Delay ◽  
Discrete Interval ◽  
Uncertain Linear Systems ◽  
Varying Delay

In this paper, we investigate the problem of robust exponential stability analysis for uncertain linear systems with discrete interval time-varying delay, distributed time-varying delay and nonlinear perturbations. Based on constructing an augmented Lyapunov–Krasovskii functional with some parameter, decomposition technique of coefficient matrix, mixed model transformation with Leibniz–Newton formula and utilization of zero equations, new delay-range-dependent robust exponential stability criteria are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the superiority of our results to those in the literature.

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