含时滞的非线性脉冲切换系统的指数稳定性
Exponential Stability of Impulsive Switched Nonlinear Systems with Time Delay: The Average Dwell Time Approach
摘要: 本文研究了一类含时滞的非线性脉冲切换系统稳定性问题，利用平均停留时间方法对系统的指数稳定性进行了探究，并结合引理给出了保证系统指数稳定的充分条件，以及确保系统状态在一段特定时间区间内始终不超出某个特定区域的充分条件。最后给出算例说明了定理的有效性。
Abstract: This paper mainly tends to investigate the exponential stability problem for a class of impulsive switched systems with nonlinear perturbation and time delay which consist of both Hurwitz stable and unstable subsystems. Based on the average dwell time approach to study the exponential sta-bility of the system, The sufficient conditions of exponential stability are derived by using the given lemmas; some sufficient conditions are given to ensure that the state trajectory of the system remains in a bounded region over a prespecified finite time interval. A numerical example is em-ployed to show the efficiency of the theories.
文章引用：刘越. 含时滞的非线性脉冲切换系统的指数稳定性[J]. 运筹与模糊学, 2019, 9(4): 320-328. https://doi.org/10.12677/ORF.2019.94038

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