ASYMPTOTIC STABILITY OF SINGULAR NONLINEAR DIFFERENTIAL SYSTEMS WITH UNBOUNDED DELAYS

ASYMPTOTIC STABILITY OF SINGULAR NONLINEAR DIFFERENTIAL SYSTEMS WITH UNBOUNDED DELAYS

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摘要 In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results. In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results.

作者 Renji Han (Dept.of Basic Courses,Huishang Vocational College,Hefei 230022) Wei Jiang (School of Mathematical Sciences,Anhui University,Hefei 230039)

出处《Annals of Differential Equations》 2012年第1期38-47,共10页 微分方程年刊（英文版）

基金 Supported by the National Natural Science Foundation of China (10771001) the Key Program of Ministry of Education of China (205068)

关键词 singular differential systems unbounded delays Lyapunov-functional LMI asymptotic stability singular differential systems unbounded delays Lyapunov-functional LMI asymptotic stability

分类号 O175.13 [理学—基础数学]

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参考文献9

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Annals of Differential Equations

2012年第1期

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ASYMPTOTIC STABILITY OF SINGULAR NONLINEAR DIFFERENTIAL SYSTEMS WITH UNBOUNDED DELAYS

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