Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’
作者:
KAIQI XIONG,
期刊:
International Journal of Control
(Taylor Available online 1996)
卷期:
Volume 64,
issue 4
页码: 707-719
ISSN:0020-7179
年代: 1996
DOI:10.1080/00207179608921651
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The objective of this paper is to use a Lyapunov function to study the stability of a loop system containing a single nonlinearity in an infinite sector angle. We obtain necessary and sufficient conditions for the existence of a Lyapunov function with ‘ a quadratic form plus an integral term’, which is a generalization of the Popov frequency criterion and Curran's papers. A numerical example illustrates the advantage of the obtained criteria.
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