New stability criteria for linear systems with interval time-varying delay

作者：Jiang Xiefu; Han Qing Long^*

来源：Automatica, 2008, 44(10): 2680-2685.

DOI：10.1016/j.automatica.2008.02.020

• Lyapunov-Krasovskii functional
• Robustness
• Uncertainty
• Stability
• Delay
• Linear matrix inequality (LMI)

This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty Under consideration includes polytopic-type uncertainty and linear fractional norm-bounded Uncertainty. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.

• 出版日期2008-10
• 单位杭州电子科技大学