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EnglishWe consider an infinite horizon zero-sum differential game where the dynamics of each player and the running costs depend on the evolution of some discrete (switching) variables. In particular, such switching variables evolve according to the switching law of a so-called thermostatic delayed relay, applied to the players' states. We first address the problem of the continuity of both lower and upper value function. Then, by a suitable representation of the problem as a coupling of several exit-time differential games, we characterize those value functions as, respectively, the unique solution of a coupling of several Dirichlet problems for Hamilton-Jacobi-Isaacs equations. The concept of viscosity solutions and a suitable definition of boundary conditions in the viscosity sense are used in the paper.
A hybrid differential game with switching thermostatic-type dynamics and costs / Bagagiolo, Fabio; Maggistro, Rosario; Zoppello, Marta. - In: MINIMAX THEORY AND ITS APPLICATIONS. - ISSN 2199-1413. - STAMPA. - 2020, 5:2(2020), pp. 151-180.
| Titolo: | A hybrid differential game with switching thermostatic-type dynamics and costs | |
| Autori: | Bagagiolo, Fabio; Maggistro, Rosario; Zoppello, Marta | |
| Autori Unitn: | ||
| Titolo del periodico: | MINIMAX THEORY AND ITS APPLICATIONS | |
| Anno di pubblicazione: | 2020 | |
| Numero e parte del fascicolo: | 2 | |
| Codice identificativo Scopus: | 2-s2.0-85093119116 | |
| Codice identificativo WOS: | WOS:000590787000001 | |
| Handle: | http://hdl.handle.net/11572/254842 | |
| Citazione: | A hybrid differential game with switching thermostatic-type dynamics and costs / Bagagiolo, Fabio; Maggistro, Rosario; Zoppello, Marta. - In: MINIMAX THEORY AND ITS APPLICATIONS. - ISSN 2199-1413. - STAMPA. - 2020, 5:2(2020), pp. 151-180. | |
| Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Bagagiolo_Maggistro_Zoppello_accepted.pdf | Versione accettata per la pubblicazione | Post-print referato (Refereed author’s manuscript) | Tutti i diritti riservati (All rights reserved) | Administrator |
http://hdl.handle.net/11572/254842
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