Algebraic Conditions for Accessibility of Discrete-Time Nonlinear Control Systems

被引：0

作者：

Bartosiewicz, Zbigniew ^{[1
]}

Kaldmae, Arvo ^{[2
]}

Kotta, Ulle ^{[2
]}

Wyrwas, Malgorzata ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

[2] Tallinn Univ Technol, Dept Software Sci, EE-19086 Tallinn, Estonia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2025年 / 70卷 / 04期

关键词：

Vectors; Orbits; Nonlinear control systems; Space vehicles; Nonlinear systems; Difference equations; Upper bound; Polynomials; Manifolds; Ink; Accessibility; algebraic methods; nonlinear discrete-time systems; CONTROLLABILITY;

D O I：

10.1109/TAC.2024.3476155

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the article, accessibility of an analytic discrete-time control system given by a set of difference equations is studied. Ideals of germs of analytic functions and modules of germs of one-forms, associated with the considered system and invariant with respect to shift operators defined by the state equations, are used to present sufficient and necessary conditions for accessibility. The conditions are given both in terms of germs of analytic functions and germs of one-forms.

引用

页码：2334 / 2345

页数：12

共 15 条

[1] FURTHER RESULTS ON CONTROLLABILITY PROPERTIES OF DISCRETE-TIME NONLINEAR-SYSTEMS [J].