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Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect
引用本文:GUAN Zhihong(Department of Basic Science,Jianghan Petroleum Institute Jingsha,Hubei,434102,China). Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect[J]. 系统科学与系统工程学报(英文版), 1996, 0(3)
作者姓名:GUAN Zhihong(Department of Basic Science  Jianghan Petroleum Institute Jingsha  Hubei  434102  China)
作者单位:Department of Basic Science,Jianghan Petroleum Institute Jingsha,Hubei,434102,China
摘    要:GlobalExponentialStabilityofVariableDelayandTime-varyingMeasureDifferentialSystemswithImpulseEffectGUANZhihong(DepartmentofBa...


Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect
GUAN Zhihong. Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect[J]. Journal of Systems Science and Systems Engineering, 1996, 0(3)
Authors:GUAN Zhihong
Abstract:This work concerns the stability properties of impulsive solution for a class of variable delay and time-varying measure differential systems. By means of the techniques of constructing broken line function to overcome the difficulties in employing comparison principle and Lyapunov function with discontinuous derivative, some criteria of global exponential asymptotic stability for the system are established. An example is given to illustrate the applicability of results obtained.
Keywords:distributional derivative   measure differential systems with variable delays   impulsive perturbation   global exponential asymptotic stability
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