Constructive stability and stabilizability of positive linear discrete-time switching systems
- Авторлар: Kozyakin V.1,2
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Мекемелер:
- Kharkevich Institute for Information Transmission Problems
- Kotel’nikov Institute of Radio Engineering and Electronics
- Шығарылым: Том 62, № 6 (2017)
- Беттер: 686-693
- Бөлім: Mathematical Methods of Information Theory
- URL: https://journals.rcsi.science/1064-2269/article/view/198514
- DOI: https://doi.org/10.1134/S1064226917060110
- ID: 198514
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
V. Kozyakin
Kharkevich Institute for Information Transmission Problems; Kotel’nikov Institute of Radio Engineering and Electronics
Хат алмасуға жауапты Автор.
Email: kozyakin@iitp.ru
Ресей, Bolshoj Karetny lane 19, Moscow, 127051; Mokhovaya 11-7, Moscow, 125009