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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This study aims at characterizing a reachable set of a hybrid dynamicalsystem with a lag constraint in the switch control. The setting does notconsider any controllability assumptions and uses a level-set approach. Theapproach consists in the introduction of on adequate hybrid optimal controlproblem with lag constraints on the switch control whose value function allowsa characterization of the reachable set. The value function is in turncharacterized by a system of quasi-variational inequalities (SQVI). We prove acomparison principle for the SQVI which shows uniqueness of its solution. Aclass of numerical finite differences schemes for solving the system ofinequalities is proposed and the convergence of the numerical solution towardsthe value function is studied using the comparison principle. Some numericalexamples illustrating the method are presented. Our study is motivated by anindustrial application, namely, that of range extender electric vehicles. Thisclass of electric vehicles uses an additional module -- the range extender --as an extra source of energy in addition to its main source -- a high voltagebattery. The reachability study of this system is used to establish the maximumrange of a simple vehicle model.

Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints