| 一般离散Lurie非线性系统的绝对稳定性 |
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| 引用本文： | 甘作新,韩京清. 一般离散Lurie非线性系统的绝对稳定性[J]. 工程数学学报, 2003, 20(2): 77-81 |
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| 作者姓名： | 甘作新 韩京清 |
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| 作者单位： | 中国科学院系统科学研究所,北京,100080;中国科学院系统科学研究所,北京,100080 |
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| 基金项目： | 中国博士后科学基金，， |
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| 摘 要： | 考虑了一般离散Lurie非线性系统的绝对稳定性，用含有非线性项积分的Lurie-Poslnikov型Lyapunov函数。把含有任意个扇形有界的无记忆时不变非线性项的著名Tsypkin准则推广到最一般离散时间Lurie系统。以前的结果是新感则一个特例。
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| 关 键 词： | 一般离散Lurie系统 Lyapunov函数 绝对稳定性 |
Absolute Stability of General Discrete-time Lurie Nonlinear Systems |
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| Abstract. Absolute Stability of General Discrete-time Lurie Nonlinear Systems[J]. Chinese Journal of Engineering Mathematics, 2003, 20(2): 77-81 |
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| Authors: | Abstract |
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| Abstract: | The absolute stability of discrete-time nonlinear Lurie systems is considered. By the Lurie-Postnikov Lyapunov function involving the integrals of the non-linearities, The well-known Tsypkin criterion for discrete-time Lurie systems is extended to the most general discrete time Lurie systems containing an arbitrary number of monotonic sector-bounded memory-less time invariant non-linearities. The new criterion contain the previous results as a particular case. |
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| Keywords: | general discrete-time Lurie systems lyapunov function absolute stability |
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