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Optimal control for fractional higher order damped stochastic impulsive systems
Author(s) -
Priyadharsini J.,
Balasubramaniam P.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7159
Subject(s) - controllability , mathematics , optimal control , order (exchange) , stochastic control , comparison theorem , poisson distribution , control theory (sociology) , mathematical analysis , control (management) , mathematical optimization , computer science , statistics , finance , artificial intelligence , economics
In this manuscript, we examined the controllability and optimal control for fractional stochastic impulsive systems (SISs) with Poisson jumps in finite dimensional space. Some sufficient conditions for controllability results are obtained by using Darbo‐Sadovskii's theorem for higher order damped stochastic system. General conditions are established to study the existence of optimal control for the considered Lagrange problem (LP).