Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (3): 43-46.

• Comprehensive Studies • Previous Articles     Next Articles

An Approach to Determine Lurie System Stability and Its Application

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China
  • Online:2008-07-01 Published:2008-07-01

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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；

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[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)

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[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
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