An Approach to Determine Lurie System Stability and Its Application

Lan Dong-sheng; PENG Shi-guo

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An Approach to Determine Lurie System Stability and Its Application

更新时间：2026-05-27

- An Approach to Determine Lurie System Stability and Its Application
- Vol. 25, Issue 3, Pages: 43-46(2008)
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- Online First：01 July 2008，
  
  Published：2008
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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]. 2008, 25(3): 43-46.
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. DOI：

Lan Dong-sheng, PENG Shi-guo. An Approach to Determine Lurie System Stability and Its Application[J]. 2008, 25(3): 43-46. DOI：

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.

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

A in a stable condition.What is more

it is more suitable for procedures.

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references

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)

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)

屠伯埙. 亚正定阵理论(Ⅰ)[J]. 数学学报. 1990(04)

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

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