电工理论中运用门限函数的计算方法

The Calculation Methods on Gate-Boundary Function in Electrical Engineering

通过单位阶跃函数定义了由门限界定了自变量域的门限函数，从而解决了单位阶跃函数描述分段函数时需用函数代数和来表征分段自变量域的问题，而且门限函数内含了单位阶跃函数，是对单位阶跃函数的扩充，提高对问题描述的灵活性；同时在数学规范的基础上提出有关门限函数的性质和运算法则，使得电工理论在运用门限函数时其运算处理更为简便；文中具体讨论了线性动态电路对多域分段激励的响应求解问题．对门限函数在电工理论中的应用做了初步的探索．

We define a new function named gate-boundary function by unit-step function, which can decide the selfvalue domains of a function, and solve the problem that separated-domain functions expressed by unit-step functions have some trouble in application; Many problems in electrical engineering is expressed in a clear and normal way by using gate-boundary function. Further more as a expansion to unit-step function, Gate-boundary function enhances the flexibility of expressing problems. At some time, calculating methods and laws on gate-boundary function developed have can simplify the calculation of gate-boundary function .At last, we discuss a linear time -changed electric circuit system which has many value domains. In a word, gate-boundary function and its application in electrical engineering is discussed carefully.