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Resilient Stabilization of Switched Linear Control Systems Against Adversarial Switching

机译:对抗对抗切换的线性切换控制系统的弹性稳定

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This paper studies the problem of stabilizing discrete-time switched linear control systems (SLCSs) using continuous input by a user against adversarial switching by an adversary. It is assumed that at each time the adversary knows the user's decision on the continuous input but not vice versa. A quantitative metric of stabilizability is proposed. Systems at the margin of stabilizability are further classified and studied via the notions of defectiveness and reducibility. Analytical bounds on the stabilizability metric are derived using (semi)norms, with tight bounds provided by extremal norms. Numerical algorithms are also developed for computing this metric. An application example in networked control systems is presented.
机译:本文研究了稳定的离散时间切换线性控制系统(SLCS),该系统使用用户的连续输入来对抗对手的对抗切换。假定对手每次都知道用户对连续输入的决定,反之则不然。提出了稳定性的定量度量。通过缺陷和可还原性的概念对处于稳定性边缘的系统进行了进一步分类和研究。稳定度度量的分析界限是使用(半)范数得出的,而极值范数则提供了严格的界限。还开发了用于计算该度量的数值算法。给出了网络控制系统中的一个应用实例。

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