Total Controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses

2022/01/03 by Kumar, J., Singh, S., Arora, S. +1
#34A12 #34K06 #37L05 #93B05 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2201.00506

Abstract

In this article, we are discussing a more vital concept of controllability, termed total controllability. We have considered a nonlocal semilinear functional evolution equations with non-instantaneous impulses and finite delay in Hilbert spaces. A set of sufficient conditions of total controllability is obtained for the evolution system under consideration, by imposing the theory of C₀-semigroup and Banach fixed point theorem. We also established the total controllability results for a functional integro-differential equation. Finally, an example is given to demonstrate the feasibility of derived abstract results.

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