基于矩阵测度的非线性非自治电路惟一稳态研究A Study on the Unique Steady State of a Nonlinear Nonautonomous Circuit Based on Matrix Measure
冯平
摘要(Abstract):
以矩阵测度为工具 ,得到了确定非线性非自治电路惟一稳态的新条件 .结果表明 :非线性非自治电路的惟一稳态 ,可以用一个矩阵的测度来决定 .该结果对电路元件的约束 ,仅要求其斜率有界即可 ,这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制 ,扩展了已有的结果
关键词(KeyWords): 非线性电路;惟一稳态;矩阵测度
基金项目(Foundation): 解放军科研基金项目 (营 16 0号 )
作者(Author): 冯平
参考文献(References):
- [1] ChuaL O.Nonlinear circuit theory[J].Europeanconf.on circuit theory and design,GuestL ectures,1978,2(9):65-172.
- [2] HaslerM,VerburghP.Uniqueness of the steadystate for sm all source am plitudes in nonlinear nonau-tonomous circuits[J].Journal ofCircuitTheory andApplication.1985(13):3-17.
- [3] HaslerM,VerburghP.On the uniqueness of thesteady state for nonlinear circuits with tim e- depen-dent sources[J].IEEE Trans.onCAS,CAS-31,1984,702-713.
- [4] BalabanianN,BickartT A.Electrical networkTheo-ry[M].JohnWiley&Sons,INC.1969.50-51.
- [5] 杨开字.矩阵分析[M].哈尔滨:哈尔滨工业大学出版社,1988.
- [6] WrightI A.An improved m ethod of sim ulation oftransient performance of electronic system[J].Inter-nationalJournal ofElectronicEducation,1979(6):499-516.