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非线性PWM反馈时滞系统的稳定性分析
引用本文:阴文革,韩化辉,赵其领.非线性PWM反馈时滞系统的稳定性分析[J].重庆工商大学学报(自然科学版),2014,31(12):5-10.
作者姓名:阴文革  韩化辉  赵其领
作者单位:重庆大学数学与统计学院,重庆,401331
摘    要:在借鉴前辈学者们的研究基础上,探讨了非线性PWM反馈时滞系统的稳定性;基于PWM(脉冲宽度调制)调控,利用改进的Lyapunov-Krasovskii泛函构造方法来构造V函数,然后通过使用线性矩阵不等式,得到了关于非线性PWM反馈时滞系统指数p次方稳定和指数p次方渐进稳定的判定.

关 键 词:时滞  PWM  Lyapunov-Krasovskii泛函  指数p次方稳定  指数p次方渐进稳定

Analysis of the Stability for Nonlinear PWM Feedback Time-delay System
YIN Wen-ge,HAN Hua-hui,ZHAO Qi-ling.Analysis of the Stability for Nonlinear PWM Feedback Time-delay System[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2014,31(12):5-10.
Authors:YIN Wen-ge  HAN Hua-hui  ZHAO Qi-ling
Institution:(School of Mathematics and Statistics, Chongqing University, Chongqing 401331, China)
Abstract:Based on the previous researches, this paper discusses the stability of nonlinear PWM ( Pulse Width Modulation) feedback time-delay system, uses the improved Lyapunov-Krasovskii functional construction method to construct V function, and then obtains the discrimination on pth moment exponential stability and pth moment exponential asymptotic stability of nonlinear PWM feedback time-delay system by using linear matrix inequalities.
Keywords:time-delay  PWM  Lyapunov-Krasovskii function  pth moment exponential stability  pth moment exponential asymptotic stability
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