Constructive stability and stabilizability of positive linear discrete-time switching systems
- 作者: Kozyakin V.1,2
-
隶属关系:
- Kharkevich Institute for Information Transmission Problems
- Kotel’nikov Institute of Radio Engineering and Electronics
- 期: 卷 62, 编号 6 (2017)
- 页面: 686-693
- 栏目: Mathematical Methods of Information Theory
- URL: https://journals.rcsi.science/1064-2269/article/view/198514
- DOI: https://doi.org/10.1134/S1064226917060110
- ID: 198514
如何引用文章
详细
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.
作者简介
V. Kozyakin
Kharkevich Institute for Information Transmission Problems; Kotel’nikov Institute of Radio Engineering and Electronics
编辑信件的主要联系方式.
Email: kozyakin@iitp.ru
俄罗斯联邦, Bolshoj Karetny lane 19, Moscow, 127051; Mokhovaya 11-7, Moscow, 125009