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二维自治系统的散射性与散射控制
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作者 吴杰 朱培勇 吴新星 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第2期94-98,共5页
首先给出了非线性自治系统离散线性化的理论基础;然后给出了二维自治系统在平衡点处散射的一个等价刻画,利用此等价刻画证明了所有的鞍点都是散射点;最后利用线性反馈的方法对二维自治系统进行了散射控制,并通过计算机仿真验证了此控制... 首先给出了非线性自治系统离散线性化的理论基础;然后给出了二维自治系统在平衡点处散射的一个等价刻画,利用此等价刻画证明了所有的鞍点都是散射点;最后利用线性反馈的方法对二维自治系统进行了散射控制,并通过计算机仿真验证了此控制方法的有效性. 展开更多
关键词 二维自治系统 线性离散化系统 散射点 鞍点 散射控制
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Exponential stability for networked control systems based on the model of nonlinear discrete-time system with time-varying delay 被引量:1
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作者 HUANGJian GUANZhihong WANGZhongdong 《Journal of Chongqing University》 CAS 2004年第1期30-33,共4页
An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criter... An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criteria of exponential stability are obtained based on norm inequality methods. A numerical example is given todemonstrate that those criteria are useful to analyzing the stability of nonlinear NCSs. 展开更多
关键词 networked control systems nonlinear discrete-time system time-varying delay exponential stability
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A Finite Genus Solution of the Veselov's Discrete Neumann System
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作者 曹策问 许晓雪 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第10期469-474,共6页
The Veselov's discrete Neumann system is derived through nonlinearization of a discrete spectral problem.Based on the commutative relation between the Lax matrix and the Darboux matrix with finite genus potentials... The Veselov's discrete Neumann system is derived through nonlinearization of a discrete spectral problem.Based on the commutative relation between the Lax matrix and the Darboux matrix with finite genus potentials,a special solution is calculated with the help of the Baker-Akhiezer-Kriechever function. 展开更多
关键词 Veselov's discrete Neumann system Baker-Akhiezer-Kriechever function finite genus solution
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