Lurie系统稳定性的一种判定方法及其应用

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (3): 43-46.

Lurie系统稳定性的一种判定方法及其应用

广东工业大学应用数学学院；

出版日期:2008-07-01 发布日期:2008-07-01

An Approach to Determine Lurie System Stability and Its Application

Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China

Online:2008-07-01 Published:2008-07-01

摘要/Abstract

摘要： 在Lurie系统b、c间构造矩阵B,利用Lyapunov方法结合亚负定理论,得出系统稳定性判据,给出实例.特点在于不用含积分项的V函数就可以全面判定系统稳定性,结果更适合程序处理.

关键词: 一般Lurie控制系统；第一标准型；绝对稳定；亚负定；

Abstract: The new criteria of Lurie system stability are obtained by constructing matrix B between b and c of the system and using Lyapunov methods and the theory of metanegative definite matrix.The example is given below.Using the V function which has no integration,it can determine the system stability comprehensively and adjust the data of b,c,A in a stable condition.What is more,it is more suitable for procedures.

Key words: general Lurie control system； the first standard； absolute stability； metanegative definite matrix；

兰冬生；彭世国； . Lurie系统稳定性的一种判定方法及其应用[J]. 广东工业大学学报, 2008, 25(3): 43-46.

Lan Dong-sheng,Peng Shi-guo. An Approach to Determine Lurie System Stability and Its Application[J]. Journal of Guangdong University of Technology, 2008, 25(3): 43-46.

参考文献

[1] 张孟秋,章联生. 几类Lurie型控制系统绝对稳定性充分必要条件[J]. 数学理论与应用. 2002(03)

[2] 赵洪涌,滕志东. 一类间接控制系统的绝对稳定性问题[J]. 应用数学和力学. 2000(07) [3] 屠伯埙. 亚正定阵理论(Ⅰ)[J]. 数学学报. 1990(04)

[1] 廖晓昕著.动力系统的稳定性理论和应用[M]. 国防工业出版社, 2000

[1] Gan Zuoxin and Hart Jing-qing.Lyapunov Function of General Lurie Systems with Multiple onlinearities. Journal of Applied Mathematics . 2003

[2] Bingji Xu Xinzhi Liu a> and Xiaoxin Liao.Absolute stability of lurie systems with impulsive effects. Computers and Mathematics With Applications . 2004

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed