摘要
讨论基于一阶正则牛顿迭代求根过程进行任意阶分抗的近似求解方法.通过迭代求解n阶方程的正实根,作为分抗的模拟.给出迭代的精确公式,并分析其收敛必须满足的条件,最后给出相应的模拟无源电路实现方案.
Discusses a method to realize the arbitrary order fractance in fractional calculus based on one-order regular Newton process. Using the positive real root of the n-order equation as the approximation of the fractance by way of solving the equation. The condition under which the Newton process can be convergent is discussed. Authors also present the iteration formula and in the end the analog passive realization of the one nth order fractance is presented.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期104-108,共5页
Journal of Sichuan University(Natural Science Edition)
关键词
分数运算
分抗
正则牛顿法
收敛条件
fractional calculus
fractance
Newton process
convergent condition
