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

We introduce a notion of bounded variation solution for a new class ofnonlinear control systems with ordinary and impulsive controls, in which thedrift function depends not only on the state, but also on its past history,through a finite number of time delays. After proving the well posedness ofsuch solutions and the continuity of the corresponding input output map withrespect to suitable topologies, we establish necessary optimality conditionsfor an associated optimal control problem. The approach, which involvesapproximating the problem by a non impulsive optimal control problem with timedelays and using Ekeland principle combined with a recent, nonsmooth version ofthe Maximum Principle for conventional delayed systems, allows us to deal withmild regularity assumptions and a general endpoint constraint.

Impulsive optimal control problems with time delays in the drift term