Improved delay-dependent stability criteria for uncertain Lur’e systems with sector and slope restricted nonlinearities and time-varying delays

2009 ◽  
Vol 208 (2) ◽  
pp. 520-530 ◽  
Author(s):  
S.J. Choi ◽  
S.M. Lee ◽  
S.C. Won ◽  
Ju H. Park
Keyword(s):  
Time Varying ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Improved Delay-Dependent Robust Stability Criteria for a Class of Uncertain Neutral Type Lur’e Systems with Discrete and Distributed Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Kaibo Shi ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yong Zeng ◽  
Yuping Zhang
Keyword(s):  
Robust Stability ◽  
Neutral Type ◽  
Distributed Delays ◽  
Linear Matrix ◽  
Time Varying ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Robust Stability Analysis ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper is concerned with the problem of delay-dependent robust stability analysis for a class of uncertain neutral type Lur’e systems with mixed time-varying delays. The system has not only time-varying uncertainties and sector-bounded nonlinearity, but also discrete and distributed delays, which has never been discussed in the previous literature. Firstly, by employing one effective mathematical technique, some less conservative delay-dependent stability results are established without employing the bounding technique and the mode transformation approach. Secondly, by constructing an appropriate new type of Lyapunov-Krasovskii functional with triple terms, improved delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) derived in this paper are much brief and valid. Furthermore, both nonlinearities located in finite sector and infinite one have been also fully taken into account. Finally, three numerical examples are presented to illustrate lesser conservatism and the advantage of the proposed main results.

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