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Avtomatika i Telemekhanika, 2018, Issue 12, Pages 16–33
DOI: https://doi.org/10.31857/S000523100002839-6 (Mi at14934) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear Systems

On diagonal stability of positive systems with switches and delays

A. Yu. Aleksandrovab, O. Masoncd

a St. Petersburg State University, St. Petersburg, Russia
b ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia
c National University of Ireland, Maynooth, Ireland
d Irish Software Research Centre Lero, Limerick, Ireland
Full-text PDF (643 kB) Citations (6)
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DOI: https://doi.org/10.31857/S000523100002839-6
Abstract: We consider linear positive systems with delay and switchings of operation modes. We establish conditions under which it is possible to construct a common Lyapunov–Krasovskii diagonal functional for the family of subsystems corresponding to the system with switchings in consideration. These conditions are formulated in terms of the feasibility of auxiliary systems of linear algebraic inequalities. In addition, we study the problem of the existence of a diagonal functional of a special form. We also show that our results can be used to analyze the stability of some classes of nonlinear positive systems with delay.
Keywords: switching systems, delays, diagonal stability, positive system, linear inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00587_a
Ирландский научный фонд 13/RC/2094
Ministry of Education and Science of the Russian Federation 08-08
The work was supported by the Governmental Support of Leading Universities of the Russian Federation (grant 08-08), financially supported by the Russian Foundation for Basic Research project no. 16-01-00587-a, Science Foundation Ireland grant 13/RC/2094 and co-funded under the European Regional Development Fund through the Southern & Eastern Regional Operational Programme to Lero—the Irish Software Research Centre (www.lero.ie).
Presented by the member of Editorial Board: B. T. Polyak

Received: 01.12.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 12, Pages 2114–2127
DOI: https://doi.org/10.1134/S0005117918120020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Aleksandrov, O. Mason, “On diagonal stability of positive systems with switches and delays”, Avtomat. i Telemekh., 2018, no. 12, 16–33; Autom. Remote Control, 79:12 (2018), 2114–2127
Citation in format AMSBIB
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\paper On diagonal stability of positive systems with switches and delays
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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