Abstract
We present an algorithm that uses linear programming to parameterize continuous and piecewise affine Lyapunov functions for switched systems. The novel feature of the algorithm is, that it can compute Lyapunov functions for switched system with a strongly asymptotically stable equilibrium, for which the equilibrium of the corresponding differential inclusion is merely weakly asymptotically stable. For the differential inclusion no such Lyapunov function exists. This is achieved by removing constraints from a linear programming problem of an earlier algorithm to compute Lyapunov functions, that are not necessary to assert strong stability for the switched system. We demonstrate the benefits of this new algorithm sing Artstein’s circles as an example.
| Original language | English |
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| Title of host publication | ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics |
| Editors | Oleg Gusikhin, Kurosh Madani, Janan Zaytoon |
| Publisher | SciTePress |
| Pages | 745-758 |
| Number of pages | 14 |
| ISBN (Electronic) | 9789897584428 |
| Publication status | Published - 2020 |
| Event | 17th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2020 - Virtual, Online, France Duration: 7 Jul 2020 → 9 Jul 2020 |
Publication series
| Name | ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics |
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Conference
| Conference | 17th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2020 |
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| Country/Territory | France |
| City | Virtual, Online |
| Period | 7/07/20 → 9/07/20 |
Bibliographical note
Publisher Copyright:Copyright © 2020 by SCITEPRESS – Science and Technology Publications, Lda. All rights reserved.
Other keywords
- Artstein’s circles
- Differential inclusions
- Lyapunov function
- Numerical algorithm
- Switched systems