An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities

被引:49
作者
Suykens, JAK [1 ]
Vandewalle, J [1 ]
De Moor, B [1 ]
机构
[1] Katholieke Univ Leuven, Dept Elect Engn, ESAT, SISTA, B-3001 Louvain, Belgium
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1998年 / 45卷 / 09期
关键词
absolute stability; Lur'e problem; matrix inequality;
D O I
10.1109/81.721270
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this brief we present a new sufficient condition for global asymptotic stability of Lur'e systems with sector and slope restricted nonlinearities. It is expressed as a matrix inequality and is based on an extended Lur'e-Postnikov Lyapunov function. It is compared based on numerical examples to conditions of Josselson-Raju and Haddad-Kapila.
引用
收藏
页码:1007 / 1009
页数:3
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