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State convergence property of perturbed switched linear time-delay systems

机译:扰动线性切换时滞系统的状态收敛性

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摘要

The issue of state convergence property for perturbed switched linear time-delay systems is explored. By introducing the variation-of-constants formula, the conditions for state convergence property of perturbed switched linear time-delay systems are established, and the difficulties caused by the interactions between the switchings and the time delay are alleviated. Based on the general result of perturbed switched linear time-delay systems, under two different switching schemes, new delay-dependent and -independent stability criteria for switched linear systems with time delay are derived. Two numerical examples along with the respective simulation results are given to demonstrate feasibility and validity of the theoretical results.
机译:研究了扰动线性切换时滞系统的状态收敛性问题。通过引入常数变化公式,建立了扰动线性切换时滞系统状态收敛性的条件,减轻了切换之间的相互作用和时延带来的困难。基于扰动的线性切换时滞系统的一般结果,在两种不同的切换方案下,推导了具有时滞的线性切换时滞系统的新的与时滞有关和独立的稳定性准则。给出了两个数值算例以及各自的仿真结果,以证明理论结果的可行性和有效性。

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