广义正交多项式用于连续时变延时系统的最优控制

A Generalized Orthogonal Polgnomials Approach for Optimal Control of Continuously Distributed Time Varging Delay Systems

本文介绍了有关广义正交多项式（ＧＯＰ）的几个引理，并应用ＧＯＰ的展开式及有关引理，将连续时变延时系统（ＣＤＴＶＤＳ）的最优控制解转化为代数方程组求解，该方法简单有效。

In this paper,the generalized orthogonal polynomials (GOP) and its several lemmas are introduced.By using the GOP expansion and employing the related lemmas,the solution of the optimal control of continuously distributed time varying delay systems (CDTVDS) is reduced to the solution of a set of algebraic equations.The computation algorithm is effective and simple.