Aleksandrov, Alexander and Mason, Oliver (2018) On Diagonal Stability of Positive Systems with Switches and Delays. Automation and Remote Control, 79 (12). pp. 2114-2127. ISSN 0005-1179

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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.

Item Type:	Article
Keywords:	switching systems; delays; diagonal stability; positive system; linear inequalities;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	13195
Identification Number:	https://doi.org/10.1134/S0005117918120020
Depositing User:	Oliver Mason
Date Deposited:	28 Aug 2020 11:48
Journal or Publication Title:	Automation and Remote Control
Publisher:	Pleiades Publishing, Ltd
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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