Open AccessStability and solvability analysis for a class of optimal control problems described by fractional differential equations with non-instantaneous impulses
Author(s) -
Kaixuan Meng,
Yi Chen
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112221m
Subject(s) - mathematics , stability (learning theory) , class (philosophy) , sequence (biology) , metric (unit) , metric space , differential equation , space (punctuation) , optimal control , set (abstract data type) , control (management) , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , operations management , genetics , artificial intelligence , machine learning , economics , biology , programming language , operating system
This paper is intended as an attempt to investigate the existence and stability of solutions for a class of fractional optimal control problems characterized with non-instantaneous impulsive differential equations. By using the method of minimizing sequence and the related conclusions of set-valued mapping, the results of solvability and stability for a class of optimal control problems are obtained in the suitable metric space.