Absolute stability criteria for a class of nonlinear singular systems with time delay

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• 作者：Huijiao Wang ; Anke Xue ; Renquan Lu
• 关键词：Nonlinear singular systems ; Time delay ; Absolute stability ; Sector-bounded nonlinearity ; Linear matrix inequality (LMI)
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：15 January 2009
• 年：2009
• 卷：70
• 期：2
• 页码：621-630
• 全文大小：483 K

文摘

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.