New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay in a Range

被引：5
|
作者：
Alla, RamaKoteswara Rao [1 ]
Lather, J. S. [1 ]
Pahuja, G. L. [1 ]
机构：
[1] Natl Inst Technol Kurukshetra, Dept Elect Engn, Kurukshetra, Haryana, India
来源：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2017年 / 42卷 / 07期
关键词：
Singular system; Time-varying delay; Stability; Linear matrix inequality; Jensen's inequality; Wirtinger's inequality; H-INFINITY-CONTROL; DESCRIPTOR SYSTEMS; ROBUST STABILITY; STATE-DELAY; STABILIZATION;
D O I：
10.1007/s13369-016-2395-9
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper proposes new delay-dependent stability criteria for a class of singular systems with time-varying delay using Jensen's and Wirtinger's inequalities. The proposed delay-dependent stability criteria have been derived in terms of linear matrix inequalities by use of a common augmented Lyapunov-Krasovskii functional. The conservativeness of the proposed stability criteria have been studied and validated on standard example problem. The results prove efficacy of the proposed criteria in terms of conservatism in delay bounds. The stability condition based on Wirtinger's inequality is shown to be less conservative as compared to one based on Jensen's inequality.
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页码：2751 / 2757
页数：7
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