Algebraic Analysis of the Conditional Stability of Solutions to Sets of Quadratic Differential Equations

V. E. BELOZEROV; O. A. PODDUBNAYA

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Algebraic Analysis of the Conditional Stability of Solutions to Sets of Quadratic Differential Equations

机译：二次微分方程组解的条件稳定性的代数分析

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摘要

The paper concerns the conditional asymptotic stability of a trivial solution to a set of quadratic differential equations. A sufficient stability criterion is obtained. The criterion makes use of selecting algebraic manifolds in the state space, which are invariant with respect to the operators found in the set of equations. This allows for transforming a set of quadratic differential equations into a "triangular" form and next for direct analysis of the solutions behavior.

机译：本文涉及一组二次微分方程的平凡解的条件渐近稳定性。获得足够的稳定性标准。该准则利用状态空间中的代数流形的选择，这些代数对于方程组中的算子是不变的。这允许将一组二次微分方程式转换为“三角”形式，然后直接用于求解行为的分析。

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来源
《Journal of automation and information sciences》 |2000年第6期|p.8-15|共8页
作者
V. E. BELOZEROV; O. A. PODDUBNAYA;
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作者单位

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
differential equations; conditional asymptotic stability; algebraic manifolds;

机译：微分方程;条件渐近稳定性代数流形;

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Algebraic Analysis of the Conditional Stability of Solutions to Sets of Quadratic Differential Equations

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