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Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra

机译：通过微分形式和微分代数的方法实现多元非线性系统

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In this paper differential forms and differential algebra are applied to give a new definition of realization for multivariable nonlinear systems consistent with the linear realization theory. Criteria for the existence of realization and the definition of minimal realization are presented. The relations of minimal realization and accessibility and finally the computation of realizations are also discussed in this paper.

机译：在本文中，微分形式和微分代数被用来给出与线性实现理论相一致的多变量非线性系统的实现的新定义。介绍了实现存在的标准和最小实现的定义。本文还讨论了最小实现和可访问性之间的关系，最后讨论了实现的计算。

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Zhang Jiangfeng Jeff; Moog Claude; Xia Xiaohua;
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1. REALIZATION OF MULTIVARIABLE NONLINEAR SYSTEMS VIA THE APPROACHES OF DIFFERENTIAL FORMS AND DIFFERENTIAL ALGEBRA [J] . JIANGFENG ZHANG, CLAUDE H. MOOG, XIAOHUA XIA Kybernetika . 2010,第5期

机译：通过微分形式和微分代数的方法实现多元非线性系统
2. Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra [J] . Moog Claude H., Xia Xiaohua, Zhang Jiangfeng Kybernetika . 2010,第5期

机译：通过微分形式和微分代数的方法实现多元非线性系统
3. Nonlinear Algebraic Differential Systems Admitting Reduction to Nondegenerate Systems of Ordinary Differential Equations: Theory and Numerical Methods of Solution [J] . Yu. E. Boyarintsev Numerical analysis and applications . 2010,第1期

机译：非线性代数微分系统允许还原到常微分方程的非退化系统：解的理论和数值方法
4. On the Dissipative Hamiltonian Realization of Nonlinear Differential Algebraic Systems [C] . Jianyong Li, Yanhong Liu, Chunwen Li 2009 Second international conference on intelligent computation technology and automation . 2009

机译：非线性微分代数系统的耗散哈密顿量实现
5. An observability formulation for nonlinear power systems modeled as differential algebraic systems. [D] . Dafis, Chris J. 2005

机译：建模为微分代数系统的非线性电力系统的可观察性公式。
6. Analysis of backward differentiation formula for nonlinear differential-algebraic equations with 2 delays [O] . Leping Sun -1

机译：具有两个时滞的非线性微分代数方程组的向后微分公式分析
7. Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra [O] . Zhang Jiangfeng Jeff, Moog Claude, Xia Xiaohua 2010

机译：通过微分形式和微分代数的方法实现多元非线性系统
8. Exact computation of derivatives with differential algebra and applications to beam dynamics. Part 1, A survey of differential algebra and its use for the extraction of maps to arbitrary order; Part 2, Normal form methods for complicated periodic systems: [R] . Berz, M., Forest, E., Irwin, J. 1988

机译：用微分代数精确计算导数并应用于梁动力学。第1部分，差分代数的调查及其用于将地图提取到任意顺序的用途;第2部分，复杂周期系统的正规形式方法：

Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra

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