Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces

By Nazim Idrisoglu Mahmudov, V. Vijayakumar, Rangasamy Murugesu. Mediterranean Journal of Mathematics, 2015

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In this paper, we consider a class of second-order evolution differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of second-order control systems. First, we establish a set of sufficient conditions for the approximate controllability for a class of second-order evolution differential inclusions in Hilbert spaces. We use Bohnenblust–Karlin’s fixed point theorem to prove our main results. Further, we extend the result to study the approximate controllability concept with nonlocal conditions and also extend the result to study the approximate controllability for impulsive control systems with nonlocal conditions. An example is also given to illustrate our main results.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e7681e2d261bb42e27569a51682897466bb83d15

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In Applied Mathematics

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Citations in the corpus

Controllability for a class of second-order evolution differential inclusions without compactness (2019, background): “Existence and controllability results of nonlinear differential equations and fractional differential equations with nonlocal conditions has been studied by several authors for different kind of problems [8,14,16,17,40,41].”
Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2 (2020, background): “Then lim for any z ∈ 𝒵 .”