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首页> 外文期刊>Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal >Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching
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Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching

机译：异步切换下具有时滞的脉冲切换系统的输入状态稳定性和整体输入状态稳定性

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This paper investigates input-to-state stability (ISS) and integral input-to-state stability (iISS) for a class of impulsive switched systems with time-delay under asynchronous switching, using the method of multiple Lyapunov-Krasovskii functionals. The asynchronous switching means that the switchings between the candidate controllers and system modes are not synchronous due to the switching delay. It is shown that, even if all the subsystems governing the continuous dynamics, in the absence of impulses, are not ISS/iISS, impulses can successfully stabilize the system in the ISS/iISS sense with the matched controller if the length of the impulsive interval is large enough. Conversely, when the delayed continuous dynamics are ISS/iISS but the discrete dynamics governing the impulses are not, the ISS/iISS property of the hybrid system can be retained with the matched controller if the impulsive interval and the switching delay are small enough. Finally, two illustrative examples are presented to demonstrate the effectiveness of the results. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本文使用多种Lyapunov-Krasovskii泛函方法研究了一类具有非同步切换时滞的脉冲切换系统的输入状态稳定性（ISS）和积分输入状态稳定性（iISS）。异步切换意味着候选控制器和系统模式之间的切换由于切换延迟而不同步。结果表明，即使在没有脉冲的情况下，所有控制连续动力学的子系统都不是ISS / iISS，如果脉冲间隔的长度很长，那么脉冲也可以通过匹配的控制器成功地将系统稳定在ISS / iISS的意义上。足够大。相反，当延迟的连续动力学是ISS / iISS，但控制脉冲的离散动力学不是，则如果脉冲间隔和切换延迟足够小，则可以用匹配的控制器保留混合系统的ISS / iISS属性。最后，给出了两个说明性的例子来证明结果的有效性。 （C）2015 Elsevier Ltd.保留所有权利。

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