Revisited criteria for absolute stability of systems with state-dependent nonlinearities

被引:0
|
作者
Rong, Li [1 ]
Chao, Liu [2 ]
机构
[1] Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China
[2] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
基金
美国国家科学基金会;
关键词
Absolute stability; State-dependent nonlinearity; Linear matrix inequality (LMI); MULTIPLE NONLINEARITIES; ROBUST STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the problem of absolute stability of systems with sector-bounded state-dependent nonlinearities. Using a Lure function as a Lyapunov function, a linear matrix inequalities (LMI) stability condition is derived. Comparing with the results available in the literature, the proposed stability condition further reduces the conservatism by relaxing some restrictions of the Lure function, as is illustrated by a numerical example. In addition, frequency-domain interpretation of the feasibility of the LMI is deduced by using the KYP Lemma.
引用
收藏
页码:1368 / 1372
页数:5
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