| 基于矩阵测度的非线性电路平衡点全局渐近稳定的方法研究 |
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| 引用本文： | 冯平.基于矩阵测度的非线性电路平衡点全局渐近稳定的方法研究[J].湖南理工学院学报,2001,14(2):69-72. |
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| 作者姓名： | 冯平 |
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| 作者单位： | 冯平（解放军后勤工程学院电工教研室，四川重庆
400016） |
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| 摘 要： | 提出了一种新的分析非线性电路平衡点全局渐近稳定的方法.这种方法以矩阵测度为工具,结合平衡点的渐进稳定判据,用一个矩阵的HURWITZ条件和矩阵的测度决定平衡点的全局渐近稳定性.与目前该问题所采用的LIYAPUNOV直接法相比,该方法具有无须判断平衡点的唯一性,无需构造LIYAPUNOV函数,直接明了判别方程。
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| 关 键 词： | 非线性电路 唯一稳态 平衡点 |
| 文章编号： | 1008-620X(2001)02-0069-04 |
| 修稿时间： | 2001年3月1日 |
MATRIX MEASURE AND ITS APPLICATION TO ANALYZE TIE GLOBAL AYMPTOTIC STABILITY OF
THE EQUILIBRIUM POINT OF NONLINEAR CIRCUT |
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| FENG Ping.MATRIX MEASURE AND ITS APPLICATION TO ANALYZE TIE GLOBAL AYMPTOTIC STABILITY OF
THE EQUILIBRIUM POINT OF NONLINEAR CIRCUT[J].Journal of Hunan Institute of Science and Technology,2001,14(2):69-72. |
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| Authors: | FENG Ping |
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| Abstract: | A new nethod to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is introduced. The conditions for the global asymptotic stability of the equilibrium point are expressed as the Hurwitz conditions of a Jacobi matrix and the measures of some matrixes. By the method to decide the global asymptotic stability of the equilibrium point, it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions. And the requirements in the conditions for the circuit elements are only their slopes be bounded, which are much loose than those in previously published papers. |
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| Keywords: | Global asymptotic stability Equilibrium point Nonlinear circuit |
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