Nonlinear Multivalued Periodic Systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Leszek Gasiński, Nikolaos S. Papageorgiou

ABSTRACT

We consider a first-order periodic system involving a time-dependent maximal monotone map, a subdifferential term, and a multivalued perturbation F(t, x). We prove existence theorems for the “convex” problem (that is, F is convex valued and for the “nonconvex” problem (that is, F is nonconvex valued). Also, we establish the existence of extremal trajectories (that is, solutions when the multivalued perturbation F(t, x) is replaced by ext F(t, x), the extreme points of F(t, x)). Also, we show that every solution of the convex problem can be approximated uniformly by certain extremal trajectories (“strong relaxation” theorem). Finally, we illustrate our result by examining a nonlinear periodic feedback control system. More... »

PAGES

219-243

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-018-9408-9

DOI

http://dx.doi.org/10.1007/s10883-018-9408-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1104555060


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