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Delay-independent robust absolute stability criteria of uncertain Lur'e systems with multiple time-delays

机译:具有多个时滞的不确定Lur'e系统的与时滞无关的鲁棒绝对稳定性准则

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摘要

The delay-independent robust absolute stability of uncertain Lur'e systems with multiple time-delays for both the time-varying and time-invariant sector bounded nonlinearities is considered in this paper. Based on the Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) approach, some delay-independent sufficient conditions for the robust absolute stability are derived and are expressed as the feasibility problem of a certain LMI system. Finally, some examples are given to illustrate the proposed results.
机译:针对时变和时变扇区有界非线性,考虑了具有多个时滞的不确定Lur'e系统的时滞无关鲁棒绝对稳定性。基于Lyapunov-Krasovskii稳定性理论和线性矩阵不等式(LMI)方法,推导了鲁棒绝对稳定性的一些与时延无关的充分条件,并将其表示为特定LMI系统的可行性问题。最后,给出了一些例子来说明所提出的结果。

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