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.

作者 GUAN Zhihong(Department of Basic Science, Jianghan Petroleum Institute Jingsha, Hubei, 434102, China)

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

分类号 N94 [自然科学总论—系统科学]

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1GUAN Zhihong,LIU Yongqing(Department of Automation,South China University of Technology,Guangzhou 510641).Stability　of　Singular　and　Time－Delay　Measure　Differential　Large－Scale　Systems　with　Impulse　Effects[J].Systems Science and Systems Engineering,1994,4(1):74-82.
2Convergence of food chain model with time delays[J].西南师范大学学报（自然科学版）,1997,22(5):9-15.
3WANG Wei LIU Yongqing Department of Automation, South China Univ. of Tech., Guangzhou 510641.Boundary　Value　Problems　for　Singular　and　Time-delay　Measure　Differential　Systems　with　Impulsive　Effects[J].Systems Science and Systems Engineering,1997,7(3):7-13.
4GUAN Zhihong(Dept.of Basic Science,Jianghan Petroleum Institute,Hubei 434102,China)LIU Yongqing(Dept.of Automation,South China Univ.of Technology,Guangzhou 510641, China).Study　on　Variation　of　Parameters　Formula　and　Stability　for　Impulsive　Time－Delay　Nonlinear　Large　Scale　Systems[J].Systems Science and Systems Engineering,1996,6(1):9-23.
5A　New　Method　on　Decentralized　Stabilization　of　Linear　Large-scale　Systems　with　Delays　in　Interconnec[J].Systems Science and Systems Engineering,1997,7(2):153-159.
6WANG Yuzhen WANG Lianguo Systems Engineering Institute, Shandong Institute of Mining and Technology Tai’an, 271000.A　New　Method　of　State　Estimation　for　Singular　Discrete-time　Stochastic　Linear　System[J].Systems Science and Systems Engineering,1997,7(3):56-61.
7SONG Zhenyu YAN Xueding Automation Department, South China University of Technology, Guangzhou,510641, China.Robust Stabilization of Interval Coefficient Non linear Discrete Control Systems with Multi Group Non integer Delays[J].Systems Science and Systems Engineering,1997,7(1):116-122.
8WANG Wendi (Department of Mathematics, Southwest Normal University, Chongqing 400715, China)MA Zhien (Department of Mathematics, Xi’an Jiaotong University, Xi’an 710049, China).CONVERGENCE IN THE CHEMOSTAT MODELWITH DELAYED RESPONSE IN GROWTH[J].Systems Science and Mathematical Sciences,1999,12(1):23-32. 被引量：1
9PEI YanBo,DU Ting,SUN LiuQuan.Time-varying latent model for longitudinal data with informative observation and terminal event times[J].Science China Mathematics,2016,59(12):2393-2410.
10Zhou, Yongwu.Inventory Replenishment Policy with Time-Varying Demand and Shortages Considering Time-Varying Costs[J].Journal of Systems Engineering and Electronics,2000,11(3):1-8. 被引量：1

Systems Science and Systems Engineering

1996年第3期

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

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

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