Adjoint Polynomial Formulas for Nonlinear State-Space Realization

Belikov J.; Kotta U.; Tonso M.

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Adjoint Polynomial Formulas for Nonlinear State-Space Realization

机译：非线性状态空间实现的伴随多项式公式

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This paper focuses on computational aspects of the realization of nonlinear multi-input multi-output systems. Instead of the algorithmic solutions, provided in earlier works, the explicit formulas are presented, which enable to compute the differentials of the state coordinates directly from the polynomial description of the nonlinear system. The solution is based on the concept of adjoint polynomials and requires a minimal amount of computations. The formulas are implemented in computer algebra system Mathematica and made available online via web Mathematica tools.

机译：本文重点介绍非线性多输入多输出系统实现的计算方面。代替了先前工作中提供的算法解决方案，而是提供了显式公式，该公式使直接从非线性系统的多项式描述计算状态坐标的微分成为可能。该解决方案基于伴随多项式的概念，并且需要最少的计算量。这些公式在计算机代数系统Mathematica中实现，并可以通过Web Mathematica工具在线获得。

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《IEEE Transactions on Automatic Control》 |2014年第1期|256-261|共6页
作者
Belikov J.; Kotta U.; Tonso M.;
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Institute of Cybernetics, Tallinn University of Technology, Tallinn, Estonia|c|;

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正文语种 eng
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关键词
Adjoint polynomials; input-output model; non-commutative polynomials; nonlinear control system; state-space realization;

机译：伴随多项式;输入输出模型;非交换多项式;非线性控制系统;状态空间实现;

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2. Stability analysis of state-space realizations for two-dimensionalfilters with overflow nonlinearities [J] . Liu D., Michel A.N. IEEE Transactions on Circuits and Systems. I, Regular Papers . 1994,第2期

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3. Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities [J] . Liu D., Michel A.N. IEEE Transactions on Circuits and Systems. 1 . 1994,第2期

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Adjoint Polynomial Formulas for Nonlinear State-Space Realization

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