一类双时滞线性系统的Lyapunov泛函

Q4 Engineering

Control and Cybernetics Pub Date : 2010-01-01 DOI:10.2478/V10170-010-0006-7

J. Duda

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引用次数: 14

摘要

本文给出了一类线性定常时滞系统的Lyapunov二次泛函的一种确定方法。对于给定的时间导数，构造了Lyapunov泛函，该泛函是在具有延迟型和中性型两种时滞的系统轨迹上计算得到的。给出了李雅普诺夫泛函系数的解析公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lyapunov functional for a linear system with two delays

The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

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来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,