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Finite-Time Stability of Homogeneous Impulsive Positive Systems of Degree One

机译:一阶齐次脉冲正系统的有限时间稳定性

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摘要

This paper investigates the finite-time stability (FTS) of a special class of hybrid systems, namely homogeneous impulsive positive systems of degree one. By using max-separable Lyapunov functions together with average impulsive interval method, a sufficient FTS criterion is obtained for homogeneous impulsive positive systems of degree one. It should be noted that it's the first time that the FTS result for homogeneous impulsive positive systems of degree one is given. Finally, some numerical examples are provided to demonstrate the effectiveness of the presented theoretical results.
机译:本文研究了一类特殊的混合系统,即一阶齐次脉冲正系统的有限时间稳定性(FTS)。通过使用最大可分的Lyapunov函数和平均脉冲间隔方法,可以为一阶齐次脉冲正系统获得足够的FTS准则。应该注意的是,这是第一次给出一阶齐次脉冲正系统的FTS结果。最后,提供了一些数值例子来证明所提出的理论结果的有效性。

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