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Delay-derivative-dependent absolute stability criterion for neutral type Lurie system with interval time-varying delay

机译:区间时变时滞的中立型Lurie系统的与时滞相关的绝对稳定准则

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In this brief, based on Lyapunov-Krasovskii functional approach and appropriate integral inequality, some new sufficient conditions are derived to guarantee the global asymptotically stability for neutral Lurie system with interval time-varying delay, in which the improved convex combination are employed. The LMI-based criterion heavily depends on both the upper and lower bounds on time delay and its derivative, which is different from the existent ones and has wider application fields than some present results. Finally, three numerical examples can illustrate the efficiency of the new method and reduced conservatism of the presented results.
机译:本文基于Lyapunov-Krasovskii泛函方法和适当的积分不等式,推导了一些新的充分条件,以保证具有时变时滞的中立型Lurie系统的全局渐近稳定性,其中采用了改进的凸组合。基于LMI的准则在很大程度上取决于时延的上限和下限及其导数,这与现有的准则不同,并且比某些现有结果具有更广阔的应用领域。最后,三个数值例子可以说明新方法的有效性,并减少了所提出结果的保守性。

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