利用跟踪微分器构造未知函数的寻优器及求根器

Tracking Differentiator Approaches for Solving Optimization Problems and Finding Roots of Algebraic Equations

针对函数结构未知的情形 ,构造出能寻优和求根的非线性动态系统。这些动态系统是用两个跟踪微分器和函数的输入输出过程值模拟数值迭代过程得到的 ,是对未知函数实现寻优和求根的动态结构。

Nonlinear dynamical systems based on tracking differentiators (TD) are proposed to solve optimization problems and finding roots of algebraic equations without numerical iteration. Only in-and output information rather than direct gradient information of the function is required during the whole process. It is applicable to the cases where the objective functions or algebraic equations are unknown.