English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we consider an infinite horizon zero-sum differential gamewhere the dynamics of each player and the running cost are also depending onthe evolution of some discrete (switching) variables. In particular, suchswitching variables evolve according to the switching law of a so-calledthermostatic delayed relay, applied to the players' states. We first addressthe problem of the continuity of both lower and upper value function. Then, bya suitable representation of the problem as a coupling of several exit-timedifferential games, we characterize those value functions as, respectively, theunique solution of a coupling of several Dirichlet problems forHamilton-Jacobi-Isaacs equations. The concept of viscosity solutions and asuitable definition of boundary conditions in the viscosity sense is used inthe paper. Finally, we give some sufficient conditions for the existence of anequilibrium.

A hybrid differential game with switching thermostatic-type dynamics and cost