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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: | 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/13195 |
| 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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