On the graphical stability of hybrid solutions with non-matching jump times: Extended Paper
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866929508413603840 |
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| author | Biemond, J. J. B. Postoyan, R. Heemels, W. P. M. H. van de Wouw, N. |
| author_facet | Biemond, J. J. B. Postoyan, R. Heemels, W. P. M. H. van de Wouw, N. |
| contents | We investigate stability of a solution of a hybrid system in the sense that the graphs of solutions from nearby initial conditions remain close and tend towards the graph of the given solution. In this manner, a small continuous-time mismatch is allowed between the jump times of neighbouring solutions and the `peaking phenomenon' is avoided. We provide conditions such that this stability notion is implied by stability with respect to a specifically designed distance-like function. Hence, stability of solutions in the graphical sense can be analysed with existing Lyapunov techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_02332 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the graphical stability of hybrid solutions with non-matching jump times: Extended Paper Biemond, J. J. B. Postoyan, R. Heemels, W. P. M. H. van de Wouw, N. Optimization and Control Systems and Control We investigate stability of a solution of a hybrid system in the sense that the graphs of solutions from nearby initial conditions remain close and tend towards the graph of the given solution. In this manner, a small continuous-time mismatch is allowed between the jump times of neighbouring solutions and the `peaking phenomenon' is avoided. We provide conditions such that this stability notion is implied by stability with respect to a specifically designed distance-like function. Hence, stability of solutions in the graphical sense can be analysed with existing Lyapunov techniques. |
| title | On the graphical stability of hybrid solutions with non-matching jump times: Extended Paper |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/1906.02332 |