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Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect

Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect
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摘要 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. 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.
出处 《Systems Science and Systems Engineering》 CSCD 1996年第3期266-272,共7页 系统科学与系统工程学报(英文版)
关键词 distributional derivative measure differential systems with variable delays impulsive perturbation global exponential asymptotic stability distributional derivative measure differential systems with variable delays impulsive perturbation global exponential asymptotic stability
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