On computing the maximum time-delay bound for stability of linear neutral systems

Qing-Long Han; Xinghuo Yu; Keqin Gu

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On computing the maximum time-delay bound for stability of linear neutral systems

机译：计算线性中立系统稳定性的最大时延界限

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This note is concerned with the stability problem of linear delay-differential systems of neutral type. A discretized Lyapunov functional approach is developed. The resulting stability criterion is formulated in the form of a linear matrix inequality. For nominal systems, the analytical results can be approached with fine discretization. Numerical examples show significant improvement over approaches in the literature.

机译：该注释涉及中性型线性时滞微分系统的稳定性问题。开发了离散的Lyapunov函数方法。得出的稳定性标准以线性矩阵不等式的形式表示。对于名义系统，可以通过精细离散化获得分析结果。数值示例表明，与文献中的方法相比，已有显着改进。

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《IEEE Transactions on Automatic Control》 |2004年第12期|p.2281-2285|共5页
作者
Qing-Long Han; Xinghuo Yu; Keqin Gu;
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正文语种 eng
中图分类自动化系统;
关键词
Lyapunov methods; delay-differential systems; linear matrix inequalities; linear systems; stability; discretized Lyapunov functional approach; linear delay-differential systems; linear matrix inequality; linear neutral system stability; maximum time-delay bound;

机译：Lyapunov方法;时滞-差分系统;线性矩阵不等式;线性系统;稳定性;离散Lyapunov函数法;线性时滞-差分系统;线性矩阵不等式;线性中立系统稳定性;最大时滞界;

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6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

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On computing the maximum time-delay bound for stability of linear neutral systems

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