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Qualitative Analysis of Nonlinear Parameterized Systems. Part 2: A Method for theGlobal Analysis of Nonlinear Systems

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

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摘要

The representation of nonlinear systems, and results from dynamical systems areintroduced and a method for the global analysis of nonlinear systems is presented. Several examples are used to illustrate the type of results that can be achieved using the new approach. It is shown that all typical bifurcation phenomena can be detected. A nonlinear feedback system is also analyzed in order to show how the new approach provides both qualitative information and a global perspective over a defined region of the systems parameter space. The method proves to be a powerful tool when used to prove the nonlinear characteristic of a system.

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作者
Haynes, B. R.; Billings, S. A.;
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年度 1990
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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
Algorithms; Dynamical systems; Nonlinear systems; Parameterization; Qualitativeanalysis; Branching (Mathematics); Discrete functions; Nonlinear feedback;

机译：算法;动力系统;非线性系统;参数化;定性分析;分支（数学）;离散函数;非线性反馈;

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专利

1. METHODS OF LINEAR ALGEBRA IN THE ANALYSIS OF CERTAIN CLASSES OF NONLINEAR DISCRETELY TRANSFORMATIVE SYSTEMS. Ⅱ. SYSTEMS WITH ADDITIVELY SELECTED NONLINEARITY [J] . V. A. Stoyan Cybernetics and Systems Analysis . 2019,第2期

机译：线性代数方法在分析某些类非线性离散变换系统中的方法。 Ⅱ。具有瘾地选择非线性的系统
2. METHODS OF LINEAR ALGEBRA IN THE ANALYSIS OF CERTAIN CLASSES OF NONLINEAR DISCRETELY TRANSFORMATIVE SYSTEMS. I. MULTIPLICATIVE NONLINEAR SYSTEMS [J] . V. A. Stoyan Cybernetics and Systems Analysis . 2019,第1期

机译：线性代数方法在分析某些类非线性离散变换系统中的方法。 I.乘法非线性系统
3. Global adaptive output-feedback control of nonlinear systems. II. Nonlinear parameterization [J] . Marino R., Tomei P. IEEE Transactions on Automatic Control . 1993,第1期

机译：非线性系统的全局自适应输出反馈控制。二。非线性参数化
4. On parameter convergence of nonlinearly parameterized adaptive systems: Analysis via contraction and first Lyapunov's methods [C] . Lei Wang, Ortega Romeo, Hongye Su, IEEE Annual Conference on Decision and Control . 2014

机译：关于非线性参数化自适应系统的参数收敛：通过收缩和第一李雅普诺夫方法进行分析
5. Feedback designs of nonlinearly parameterized systems. [D] . Pongvuthithum, Radom. 2003

机译：非线性参数化系统的反馈设计。
6. Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities [O] . Xian Liu, Jiajia Du, Qing Gao -1

机译：具有边坡约束非线性的非线性系统的稳定性分析。
7. Analysis of Computational Methods for Nonlinear Parabolic Differential Systems. [O] . R. Leonard Brown 1980

机译：非线性抛物型差速系统的计算方法分析。
8. Qualitative Analysis of Nonlinear Parameterized Systems. Part 1: NonlinearSystems Representation and Dynamical Systems Theory [R] . Haynes, B. R., Billings, S. A. 1990

机译：非线性参数化系统的定性分析第1部分：非线性系统表示和动力系统理论

Qualitative Analysis of Nonlinear Parameterized Systems. Part 2: A Method for theGlobal Analysis of Nonlinear Systems

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