Absolute Stability for a Class of Nonlinear Neutral Control Systems

YANG Ge-feng

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Absolute Stability for a Class of Nonlinear Neutral Control Systems

更新时间：2026-05-27

- Absolute Stability for a Class of Nonlinear Neutral Control Systems
- Vol. 24, Issue 1, Pages: 77-81(2007)
- 作者机构：
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- Online First：01 February 2007，
  
  Published：2007
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杨戈锋. 一类非线性中立型控制系统的绝对稳定性[J]. 广东工业大学学报, 2007, 24(1): 77-81.

YANG Ge-feng. Absolute Stability for a Class of Nonlinear Neutral Control Systems[J]. 2007, 24(1): 77-81.
杨戈锋. 一类非线性中立型控制系统的绝对稳定性[J]. 广东工业大学学报, 2007, 24(1): 77-81. DOI：

YANG Ge-feng. Absolute Stability for a Class of Nonlinear Neutral Control Systems[J]. 2007, 24(1): 77-81. DOI：

摘要

本文研究具有可变时滞的中立型Lurie控制系统的绝对稳定性.利用Lyapunov泛函方法建立了基于线性矩阵不等式的绝对稳定性条件

因而将稳定性条件的检验转化为数学软件Matlab线性矩阵不等式的求解问题.给出了定理条件下计算绝对稳定时时滞充分性上界的一个算法

数值例子表明了本文结果的有效性.

Abstract

This paper deals with the absolute stability of a class of neutral Lurie control systems with time-varying delays.Some stability criteria in terms of matrix inequalities(LMIs) are obtained based on Lyapunov functional method

which is only to solve LIMIs for verifying the stability conditions.An algorithm is also presented to obtain a sufficient upper bound of delay for absolute stability.Two numerical examples illustrate the effectiveness of the proposed results.

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references

魏俊杰,阮士贵. 中立型微分方程零解的稳定性与全局Hopf分支[J]. 数学学报. 2002(01)

甘作新,葛渭高. 一类时滞多非线性Lurie控制系统的绝对稳定性[J]. 数学学报. 2000(04)

年晓红. LURIE控制系统绝对稳定的时滞相关条件[J]. 自动化学报. 1999(04)

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