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一类带有奇异干扰的脉冲切换系统的鲁棒镇定
引用本文:王国朋,孟广武.一类带有奇异干扰的脉冲切换系统的鲁棒镇定[J].井冈山大学学报(自然科学版),2013(1):5-10.
作者姓名:王国朋  孟广武
作者单位:聊城大学数学科学学院
基金项目:山东省中青年科学家科研奖励基金项目(BS2010SF004)
摘    要:研究一类带有奇异干扰和输入时滞的不确定脉冲切换系统的稳定性和切换控制器设计问题。通过使用还原方法和多Lyapunov函数技术,并且设计了一定的时滞控制器,从而建立了保证这类脉冲切换系统鲁棒渐近镇定的充分条件。最后,一个数值算例表明结论的有效性。

关 键 词:稳定性分析  脉冲切换系统  输入时滞  奇异干扰  鲁棒镇定

ROBUST STABILIZATION OF A CLASS OF SINGULARLY PERTURBED IMPULSIVE SWITCHED SYSTEMS
WANG Guo-peng,MENG Guang-wu.ROBUST STABILIZATION OF A CLASS OF SINGULARLY PERTURBED IMPULSIVE SWITCHED SYSTEMS[J].Journal of Jinggangshan University(Natural Sciences Edition),2013(1):5-10.
Authors:WANG Guo-peng  MENG Guang-wu
Institution:(School of Mathematical Sciences,Liaocheng University,Liaocheng,Shandong 252059,China)
Abstract:Asymptotically stabilization and the design of switching controllers for a class of singularly perturbed uncertain impulsive switched systems with input delay is studied based on the receding horizon method and multiple Lyapunov function technology.Furthermore,a certain delayed controller is designed and some sufficient conditions are established which guarantee the class of system is robust asymptotically stabilizable.Finally,a numerical example is presented to illustrate the effectiveness of the result obtained.
Keywords:stability analysis  impulsive switched systems  input delay  singularly perturbation  robust stabilization
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