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Qualitative Analysis of Chaos in Nonlinear Sampled Data Systems and SystemIdentification

机译：非线性采样数据系统中混沌的定性分析与系统识别

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摘要

Analysis of nonlinear sampled data systems is considered. A qualitative approachis adopted in which the system is suspended in a parameterized cell state space framework. Application of a global unravelling algorithm reveals the type of behavior typically found using dynamical systems techniques. Steady state, periodic, and aperiodic or chaotic behavior is detected. System identification techniques are then applied. The resulting nonlinear recursive input output model is analyzed within the above framework and is shown to exhibit the same periodic characteristics as the original nonlinear sampled data system.

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作者
Haynes, B. R.; Billings, S. A.;
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年度 1991
页码
总页数 34
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Chaos; Nonlinear systems; Qualitative analysis; Systems analysis; Input/outputroutines; Mathematical models; Periodic functions; Periodic variations;

机译：混沌;非线性系统;定性分析;系统分析;输入/输出;数学模型;周期函数;周期变化;

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专利

1. Hyperchaos, qualitative analysis, control and synchronisation of a ten-term 4-D hyperchaotic system with an exponential nonlinearity and three quadratic nonlinearities [J] . Sundarapandian Vaidyanathan International Journal of Modelling, Identification and Control . 2015,第4期

机译：具有指数非线性和三个二次非线性的十项4-D超混沌系统的超混沌，定性分析，控制和同步
2. Analysis and synthesis of nonlinear control systems by means of a sampled-data nonlinearity matrix [J] . Teodorescu Dan Electrical Engineers, Proceedings of the Institution of . 1971,第11期

机译：非线性控制系统的采样数据非线性矩阵分析与综合
3. Stability analysis and design of nonlinear sampled‐data systems under aperiodic samplings [J] . Hooshmandi K., Bayat F., Jahed‐Motlagh M. R., International Journal of Robust and Nonlinear Control . 2018,第7期

机译：非周期性采样下非线性采样数据系统的稳定性分析与设计
4. Ambiguity-Directed Sampling for Qualitative Analysis of Sparse Data from Spatially-Distributed Physical Systems [C] . Chris Bailey-Kellogg, Naren Ramakrishnan International Joint Conference on Artificial Intelligence . 2007

机译：空间分布物理系统的稀疏数据定性分析的模棱两可的采样
5. Multirate Nonlinear Sampled-Data Systems: Analysis and Design. [D] . Beikzadeh, Hossein. 2014

机译：多速率非线性采样数据系统：分析和设计。
6. Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol [O] . M. J. Park, O. M. Kwon, E. J. Cha 2015

机译：时变采样数据协议下具有边沿中间性测度的非线性复杂系统的共识
7. Energy spectrum of superfluid turbulence : Numerical Analysis of the Gross-Pitaevskii equation with the small scale dissipation(3) Chaos and nonlinear dynamics in dissipative systems(including BEC and pattern formations), Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems) [O] . Kobayashi Michikazu, Tsubota Makoto 2005

机译：超流体湍流的能谱：具有小尺度耗散的Gross-Pitaevskii方程的数值分析（3）耗散系统（包括BEC和模式形成）中的混沌和非线性动力学，量子力学和宏观系统中的混沌和非线性动力学
8. Qualitative Analysis of Nonlinear Parameterized Systems. Part 2: A Method for theGlobal Analysis of Nonlinear Systems [R] . Haynes, B. R., Billings, S. A. 1990

机译：非线性参数化系统的定性分析。第2部分：非线性系统全局分析的一种方法

Qualitative Analysis of Chaos in Nonlinear Sampled Data Systems and SystemIdentification

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