Algebraic Conditions for Accessibility of Discrete-Time Nonlinear Control Systems
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.
Authors
- Zbigniew Bartosiewicz (ORCID: https://orcid.org/0000-0002-7250-4350)
- Arvo Kaldmäe (ORCID: https://orcid.org/0000-0002-6228-0541)
- Ülle Kotta (ORCID: https://orcid.org/0000-0002-7697-769X)
- Małgorzata Wyrwas (ORCID: https://orcid.org/0000-0002-2003-7543)
Institutions
- Tallinn University of Technology (EE)
- Bialystok University of Technology (PL)
Publication Details
- Journal
- IEEE Transactions on Automatic Control
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1109/tac.2024.3476155
- Primary Topic
- Advanced Control Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00