The characterization of maximal invariant sets of non-linear discrete-time control dynamical systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

Miguel Mendes (Autor) FEUP; Byungik Kahng (Autor) Outra

Revista

Título: Discrete and Continuous Dynamical Systems

Nº de Série supplement 2013

Páginas: 393-406

ISSN: 1078-0947

Editora: American Institute of Mathematical Sciences

Indexação

Scopus

Outras Informações

Abstract (EN): The main topic of this paper is the controllability/reachability problems of the maximal invariant sets of non-linear discrete-time multiplevalued iterative dynamical systems. We prove that the controllability/reachability problems of the maximal full-invariant sets of classical control dynamical systems are equivalent to those of the maximal quasi-invariant sets of disturbed control dynamical systems, when modeled by the iterative dynamics of multiple-valued self-maps. Also, we prove that the afore-mentioned maximal full-invariant sets and maximal quasi-invariant sets are countably infinite step controllable under some appropriate conditions. We take an abstract set theoretical approach, so that our main theorems remain valid regardless of the topological structure of the space or the analytical structure of the dynamics.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14