Algebraic Conditions for Accessibility of Discrete-Time Nonlinear Control Systems

• 成果类型: Article
• 署名作者: Bartosiewicz, Zbigniew; Kaldmae, Arvo; Kotta, Ulle; Wyrwas, Malgorzata
• 署名单位: Bialystok University of Technology; Tallinn University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3476155
• 发表日期: 2025
• 页码: 2334-2345
• 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

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.