Popov form and the explicit equations of inverse systems

Estonian Academy of Sciences. Proceedings

Zbigniew Bartosiewicz¹ 

关键词: discrete-time systems;    nonlinear systems;    input–output models;    non-commutative polynomials;    strong Popov form;   

DOI  :  10.3176/proc.2018.4.04

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

The paper addresses the invertibility problem for discrete-time nonlinear control systems, described by the input–outputequations. The necessary and sufficient conditions for the existence of left and right inverse systems are given. The explicitequations of inverse systems are found by transforming the system equations into the strong Popov form with respect to inputs. Theresults are obtained under the assumption that the equations are transformable into the strong Popov form using linear equivalencetransformations over the field of meromorphic functions.

【 授权许可】

CC BY-NC