Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays

Carlos Cuvas; Sabine Mondié

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Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays

机译：具有多个点状和分布时滞的时滞系统的必要稳定性条件

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摘要

Necessary stability conditions for linear systems with multiple pointwise and distributed delays are presented. New properties that connect the Lyapunov delay matrix and the fundamental matrix of these systems are instrumental in proving that these conditions depend exclusively on the Lyapunov delay matrix. The result is illustrated by some examples.

机译：提出了具有多个点状和分布式时滞的线性系统的必要稳定性条件。连接Lyapunov延迟矩阵和这些系统的基本矩阵的新属性有助于证明这些条件完全取决于Lyapunov延迟矩阵。通过一些示例说明了结果。

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来源
《IEEE Transactions on Automatic Control》 |2016年第7期|1987-1994|共8页
作者
Carlos Cuvas; Sabine Mondié;
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作者单位

Department of Automatic Control, CINVESTAV-IPN, México, México;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Distributed delay system; Lyapunov delay matrix; distributed delay system; stability;

机译：分布式时滞系统;Lyapunov延迟矩阵;分布式时滞系统;稳定性;

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2. Robust stability analysis of generalized neural networks with multiple discrete delays and multiple distributed delays [J] . Xiaoyang Liu, Nan Jiang Neurocomputing . 2009,第7a9期

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3. Delay-dependent condition for absolute stability of Lurie control systems with multiple time delays and nonlinearities [J] . Cao JW, Zhong SM, Hu YY Journal of Mathematical Analysis and Applications . 2008,第1期

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4. Delay-dependent robust stabilization for uncertain constrained systems with pointwise and distributed time-varying delays [C] . Qing-Long Han, Bo Ni . 1999

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7. Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays [O] . Kowalewski Adam 2016

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Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays

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