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Less conservative results on stability for linear systems with a time-varying delay

机译：具有时变时滞的线性系统在稳定性方面的保守性较差

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摘要

This paper is focused on the problem of stability for linear systems with a time-varying delay. A novel Lyapunov-Krasovskii functional that decomposed the delay in all integral terms is proposed. As a result, some less conservative stability criteria are derived by considering the relationship between time-varying delay and its intervals, which have wider application than the existing ones because independent upper bounds of the delay derivative in the various delay intervals are taken into account. Some numerical examples are finally given to show the effectiveness and the benefits of the proposed method.
机译：本文关注具有时变时滞的线性系统的稳定性问题。提出了一种新颖的Lyapunov-Krasovskii泛函，它分解了所有积分项的延迟。结果，通过考虑时变延迟及其间隔之间的关系，得出了一些保守性较弱的稳定性标准，由于考虑了各个延迟间隔中延迟导数的独立上限，因此它们的应用范围比现有方法更广。最后给出了一些数值例子，说明了该方法的有效性和优越性。

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