Constructive stability and stabilizability of positive linear discrete-time switching systems
- Authors: Kozyakin V.S.1,2
-
Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Kotel’nikov Institute of Radio Engineering and Electronics
- Issue: Vol 62, No 6 (2017)
- Pages: 686-693
- Section: Mathematical Methods of Information Theory
- URL: https://journals.rcsi.science/1064-2269/article/view/198514
- DOI: https://doi.org/10.1134/S1064226917060110
- ID: 198514
Cite item
Abstract
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.
About the authors
V. S. Kozyakin
Kharkevich Institute for Information Transmission Problems; Kotel’nikov Institute of Radio Engineering and Electronics
Author for correspondence.
Email: kozyakin@iitp.ru
Russian Federation, Bolshoj Karetny lane 19, Moscow, 127051; Mokhovaya 11-7, Moscow, 125009