On the Existence of Unique Solution to the Approximated System Based on General Orthogonal Polynomials
基于广义正交多项式的近似系统解的存在唯一性

In this paper, a new approximated model for linear time varying systems is deduced via general orthogonal polynomials(GOPs) expansion by basis transformation in projection space.Based on the model,the existence criterion of unique solution to the approximated system and its algorithm are proposed. It is shown that the approximated system via GOPs expansion can be constructed for any linear time varying system,such that there always exists a unique solution to the approximated system of any order. Finally,two simple examples are given to show feasibility of the method in this paper.