Constructive stability and stabilizability of positive linear discrete-time switching systems

Autor:	Kozyakin, Victor
Rok vydání:	2015
Předmět:	Mathematics - Optimization and Control Mathematics - Rings and Algebras 93D20 93D15 15A18 15B48 15A60
Zdroj:	Journal of Communications Technology and Electronics. 2017. 62 (6). 686-693
Druh dokumentu:	Working Paper
DOI:	10.1134/S1064226917060110
Popis:	We describe a new class of positive linear discrete-time switching systems for which the problems of stability or stabilizability can be resolved constructively. This class generalizes the class of systems with independently switching state vector components. The distinctive feature of this class is that, for any system from this class, its components or blocks can be arbitrarily connected in parallel or in series without loss of the `constructive resolvability' property. It is shown also that, for such systems, it is possible to build constructively the individual positive trajectories with the greatest or the lowest rate of convergence to the zero. Comment: 12 pages, 25 bibliography references, numerous tweaks and additions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.05665 Zobrazit plný text záznamu View this record from Arxiv