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高维滞环多值电路唯一稳态的研究
引用本文:葛仁华,冯平.高维滞环多值电路唯一稳态的研究[J].电子器件,2002,25(2):147-151.
作者姓名:葛仁华  冯平
作者单位:1. 桂林航天工业高等专业学校电子工程系,桂林,541004
2. 解放军后勤工程学院电工教研室,重庆,400016
摘    要:本文利用矩阵分解方法,在用常数界定元件成份关系斜率条件下,得到了确定高维具有滞环的非线性非自治电路唯一稳态的新条件。本文的结果表明,该类电路的唯一稳态,可以用分解矩阵的稳定性来决定,本文的结果中,电路元件可以是多值元件,这大大放松了目前已的经典结果中要求电路元件为单值的限制,扩展了已有的结果,同时,本文的结果,对于确定高维非线性非自治电路的唯一稳态,比已有结果,更加有力和简洁。

关 键 词:非线性电路  唯一稳态  矩阵分解  滞环
文章编号:1005-9490(2002)02-0147-05
修稿时间:2001年12月6日

On the Uniqueness of the Steady State of the Nonlinear Nonautonomous Circuits With Hysteresis Loop Elements in Decomposition Forms
GE Renhu,FENG Ping.On the Uniqueness of the Steady State of the Nonlinear Nonautonomous Circuits With Hysteresis Loop Elements in Decomposition Forms[J].Journal of Electron Devices,2002,25(2):147-151.
Authors:GE Renhu  FENG Ping
Affiliation:GE Renhua 1,FENG Ping 2 1. Electronic Engineering Department,Guilin College of Aerospace Technology,Guilin 541004 P.R.China, 2.Electrical and Electronic Reseach Section,Logistical Engineering University,Chongqing 400016 P.R.China
Abstract:On the conditions where the slopes of the elementsc const itut ive relations are expressed by constant intervals, a new criterion to the unique steady state of the nonlinear nonautonomous circuits with hysteresis elements in decompos-i tion is obtained by matrix measures. The main results obtained in this paper show that the unique steady state of the nonlinear nonautonomous circuits can be determined by the stability of decomposed matrixes. The restriction to the elements of circuits is just the slope of the constitutive relation is bounded, which is much looser than the demands put forward by previously published papers. The new criterions in this paper have much wider applicable range than the results already known.
Keywords:nonlinear circuit  steady state  matrix decomposition  hysteresis
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