Delay-Partitioning Approach to Stability of Discrete-Time Systems with Interval Time-Varying Delay
The paper addresses stability analysis of discrete-time delayed systems. The delay is assumed time-varying and its value bounded in a known interval. By using the same Lyapunov-Krasovskii functional as used in a recent paper, a set of sufficient LMI conditions is obtained from using solely the Jensen inequality treatment to ensure asymptotical stability of the considered system. The conditions are shown to be equivalent to the ones obtained recently by using the Jensen inequality and the free-weighting matrix techniques. The delay partition technique is exploited further to reduce the conservativeness induced by the Jensen inequality treatment. Simulation results show the benefit of the used delay partition approach.
Discrete-time systems delay partition LMI
LEE Li TSAI Hsing-Jen
Electrical Engineering Department, National Sun Yat-Sen University, Kaohsiung
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1493-1498
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）