Necessary stability conditions for linear delay systems
Necessary stability conditions for linear delay systems
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DOI：
10.1016/j.automatica.2014.10.031
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
A. Egorov;S. Mondié
中科院分区：
文献类型：
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作者：
A. Egorov;S. Mondié
给出了多时滞线性系统指数稳定的必要条件。它们用完全型方法的Lyapunov - krasovskii泛函的延迟Lyapunov矩阵表示。建立系统基本矩阵与其李雅普诺夫矩阵之间联系的新性质是我们证明的关键要素。我们用一些例子来说明我们的工作。
We present necessary conditions for the exponential stability of linear systems with multiple delays. They are expressed in terms of the delay Lyapunov matrix of the Lyapunov–Krasovskii functionals of complete type approach. New properties of independent interest, that establish connections of the system fundamental matrix with its Lyapunov matrix, are crucial elements of our proof. We illustrate our work with a number of examples.