摘要
We consider a first order periodic system in R^(N),involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation.We prove the existence theorems for both the convex and nonconvex problems.We also show the existence of extremal periodic solutions and provide a strong relaxation theorem.Finally,we provide an application to nonlinear periodic control systems.
作者
Zhenhai LIU
Nikolaos S.PAPAGEORGIOU
刘振海(Center for Applied Mathematics of Guangri,Yulin Normal University,Yulin 537000,China;Guangri Key Laboratory of Universities Optimization Control and Engineering Calculation,College of Mathematics and Physics,Guangri Minzu University,Nanning 530006,China)
基金
supported by the NSFC(12071413)
the Guangxi Natural Sci-ence Foundation(2023GXNSFAA026085)
the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。
