离散型Lurie控制系统绝对稳定的充分必要条件

Necessary and Sufficient Conditions for the Absolute Stability of Discrete Type Lurie Control System

Research institute of Applied Mechanics, Southwest Jiaotong Universtity, Chengdu 610031, P. R. China

摘要: 本文研究了离散型Lurie控制系统(1)在非线性函数f(σ)满足f(0)=0,σf(σ)>0(σ≠0)(2)或f(0)=0,0≤k₁≤f(σ)/σ≤k₂<+∞(σ≠0)(3)时,零解的绝对稳定性。给出了系统(1)在满足条件(2)时零解绝对稳定的构造性充要条件,并得到了系统(1)的简化系统在满足条件(3)时,绝对稳定的充分及充要判据。
- 离散型 /
- 绝对稳定性 /
- 充要条件 /
- Lurie问题
Abstract: In this paper. it is discussed that the absolute for zero solution of the discrete type Lurie control system in which the nonlinear function f(σ) satisfying conditions follows f(0)=0,σf(σ)>0(σ≠0)(2) or f(0)=0,0≤k₁≤f(σ)/σ≤k₂<+∞(σ≠0)(3) It gives the necessary and sufficient conditions for the absolute stability for system(1) under conditions(2).We also obtain the sufficient for absolute stability of the simplified system of(1) under conditions(3).
- discrete type /
- absolute stability /
- necessary and sufficientcondition /
- Lune problem

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