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Absolute stability criteria for a class of nonlinear singular systems with time delay
Authors:Huijiao Wang  Anke Xue  Renquan Lu
Affiliation:1. National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, PR China;2. Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;3. Institute of Information & Control, Hangzhou Dianzi University, Hangzhou 310018, PR China
Abstract:
This paper deals with the problem of absolute stability for a class of time-delay singular systems with sector-bounded nonlinearity. Both delay-independent and delay-dependent criteria are presented and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor a bounding technique for cross-terms, nor a slack variable method is involved in obtaining the stability criteria. Numerical examples are given to show the effectiveness and improvements over some existing results.
Keywords:Nonlinear singular systems   Time delay   Absolute stability   Sector-bounded nonlinearity   Linear matrix inequality (LMI)
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