title: Further improvement on delay-range-dependent robust absolute stability for Lur'e uncertain systems with interval time-varying delays.
abstract: This paper investigates improved delay-range-dependent robust absolute stability criteria for a class of Lur'e uncertain systems with interval time-varying delays. By using delayed decomposition approach (DDA), a tighter upper bound of the derivative of Lyapunov functional can be obtained, and thus the proposed criteria give results with less conservatism compared with some previous ones. An integral inequality approach (IIA) is proposed to reduce the conservativeness in computing the allowable maximum admissible upper bound (MAUB) of the time-delay. The developed stability condition is expressed in terms of linear matrix inequality (LMI) that manipulates fewer decision variables and requires reduced computational load. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.
authors.affiliation: Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua 500, Taiwan, ROC. Electronic address: lpl@cc.ctu.edu.tw.
authors.forename: Pin-Lin
authors.initials: PL
authors.lastname: Liu
keywords: Delayed decomposition approach (DDA); Integral inequality approach (IIA); Interval time-varying delay; Linear matrix inequality (LMI); Lur׳e system; Maximum admissible upper bound (MAUB)