Constructive stability and stabilizability of positive linear discrete-time switching systems
- Autores: Kozyakin V.1,2
-
Afiliações:
- Kharkevich Institute for Information Transmission Problems
- Kotel’nikov Institute of Radio Engineering and Electronics
- Edição: Volume 62, Nº 6 (2017)
- Páginas: 686-693
- Seção: Mathematical Methods of Information Theory
- URL: https://journals.rcsi.science/1064-2269/article/view/198514
- DOI: https://doi.org/10.1134/S1064226917060110
- ID: 198514
Citar
Resumo
We describe a new class of positive linear discrete-time switching systems for which the problems of stability or stabilizability can be resolved constructively. The systems constituting this class can be treated as a natural generalization of systems with the so-called independently switching state vector components. Distinctive feature of such systems is that their components can be arbitrarily “re-connected” in parallel or in series without loss of the “constructive resolvability” property for the problems of stability or stabilizability of a system. It is shown also that, for such systems, the individual positive trajectories with the greatest or the lowest rate of convergence to the zero can be built constructively.
Palavras-chave
Sobre autores
V. Kozyakin
Kharkevich Institute for Information Transmission Problems; Kotel’nikov Institute of Radio Engineering and Electronics
Autor responsável pela correspondência
Email: kozyakin@iitp.ru
Rússia, Bolshoj Karetny lane 19, Moscow, 127051; Mokhovaya 11-7, Moscow, 125009