非线性电路唯一稳态的特征值-范数判据

Characteristic Number Norm Criterion of Unique Stabitity of Non-line ar Circuit

用矩阵范数及特征值的相关方法,得到了确定非线性自治电路唯一稳态的新条件。结果对电路元件的约束,仅要求其成份关系斜率有界即可。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。

The paper gets the new cond ition of determining unique stabili ty of nonlinear autonomous circuit b y using the related method of matrix norm and characteristic number.As a resu lt,the restraint for the circuit element asks for the bounded slope of element relation,thus releasing th e restraint of the present classical result requir ing for the positive slope of c ircuit element and expanding the available resul t.