Approximate controllability of non-instantaneous impulsive semilinear measure driven control system with infinite delay via fundamental solution

DOI10.1093/IMAMCI/DNAA026zbMath1475.93012OpenAlexW3167575469MaRDI QIDQ5162747

Surendra Kumar, Syed Mohammad Abdal

Publication date: 5 November 2021

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnaa026

zbMATH Keywords

fixed point theoryfundamental solutionapproximate controllabilityLebesgue-Stieltjes integralregulated functionsmeasure driven differential equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by ordinary differential equations (93C15) Delay control/observation systems (93C43) Impulsive control/observation systems (93C27)

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Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear systems ⋮ Approximate controllability of nonautonomous second-order nonlocal measure driven systems with state-dependent delay ⋮ Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition ⋮ Approximate controllability of time‐varying measure differential problem of second order with state‐dependent delay and noninstantaneous impulses ⋮ Unnamed Item ⋮ Existence of mild solutions for multi-term time fractional measure differential equations ⋮ On approximate controllability of non-autonomous measure driven systems with non-instantaneous impulse ⋮ On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions

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