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Separation principle of time-varying systems including multiple delayed perturbations
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-05-12 , DOI: 10.1016/j.bulsci.2020.102869
Ines Ellouze

In this paper, we investigate the global practical uniform stability analysis problem of a class of time-varying multiple delayed perturbed systems where the associated nominal system is linear and the multiple delayed perturbation term satisfies some conditions. Furthermore, based on Lyapunov-Krasovskii functionals, we study the possibility to stabilize globally and uniformly in practical sense by an estimated state controller. Finally an illustrative example is given to demonstrate the applicability of main result.



中文翻译:

包含多个时滞扰动的时变系统的分离原理

在本文中,我们研究了一类时变的多重时滞摄动系统的全局实用统一稳定性分析问题,该系统时相关的标称系统是线性的,并且多重时滞摄动项满足某些条件。此外,基于Lyapunov-Krasovskii泛函,我们研究了由估计的状态控制器在实际意义上全局稳定地统一的可能性。最后给出一个例子说明主要结果的适用性。

更新日期:2020-05-12
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