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ASYMPTOTIC STABILITY OF SINGULAR NONLINEAR DIFFERENTIAL SYSTEMS WITH UNBOUNDED DELAYS
Authors:Renji Han Deptof Basic Courses  Huishang Vocational College  Hefei  Wei Jiang
Institution:(School of Mathematical Sciences,Anhui University,Hefei 230039)
Abstract: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.
Keywords:singular differential systems  unbounded delays  Lyapunov-functional  LMI  asymptotic stability
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