Remarks on the realization of time-varying systems

Estonian Academy of Sciences. Proceedings

Ülle Kotta¹ 

关键词: nonlinear control systems;    time-varying systems;    state-space realization;    polynomial methods.;   

DOI  :  10.3176/proc.2018.3.02

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

The realization problem of nonlinear time-varying input–output equations is considered. Differentials of the statecoordinates, necessary for realization, are determined by the vector space of differential one-forms, spanned over the fieldof meromorphic functions. Formulas for computing the basis one-forms are given, based on the Euclidean division of noncommutativepolynomials. Moreover, it is shown that in the case of a reducible system, the subspace admits a basis with certainstructure, explicitly related to reduced input–output equations.

【 授权许可】

CC BY-NC