| Global Exponential Stability of Variable Delay and Time－varying Measure Differential Systems with Impulse Effect |
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| 作者姓名： | GUAN Zhihong |
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| 作者单位： | Department of Basic Science，Jianghan Petroleum Institute Jingsha，Hubei，434102，China |
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| 摘 要： | ＧｌｏｂａｌＥｘｐｏｎｅｎｔｉａｌＳｔａｂｉｌｉｔｙｏｆＶａｒｉａｂｌｅＤｅｌａｙａｎｄＴｉｍｅ－ｖａｒｙｉｎｇＭｅａｓｕｒｅＤｉｆｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｅＥｆｆｅｃｔＧＵＡＮＺｈｉｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＢａ...
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Global Exponential Stability of Variable Delay and Time-varying Measure Differential Systems with Impulse Effect |
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| 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(3). |
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| Authors: | GUAN Zhihong |
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| 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. |
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| Keywords: | distributional derivative measure differential systems with variable delays impulsive perturbation global exponential asymptotic stability |
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