| 离散型Lurie控制系统绝对稳定的充分必要条件 |
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| 引用本文： | 张继业. 离散型Lurie控制系统绝对稳定的充分必要条件[J]. 应用数学和力学, 1995, 16(10): 927-932 |
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| 作者姓名： | 张继业 |
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| 作者单位： | 西南交通大学应用力学研究所 成都 610031 |
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| 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。
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| 关 键 词： | 离散型 绝对稳定性 充要条件 Lurie问题 |
| 收稿时间： | 1994-10-05 |
Necessary and Sufficient Conditions for the Absolute Stability of Discrete Type Lurie Control System |
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| Zhang Jiye. Necessary and Sufficient Conditions for the Absolute Stability of Discrete Type Lurie Control System[J]. Applied Mathematics and Mechanics, 1995, 16(10): 927-932 |
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| Authors: | Zhang Jiye |
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| Affiliation: | Research institute of Applied Mechanics, Southwest Jiaotong Universtity, Chengdu 610031, P. R. China |
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| 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). |
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| Keywords: | discrete type absolute stability necessary and sufficient condition Lurie problem |
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