Approximate controllability of neutral functional differential systems with state-dependent delay

Abstract

This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.

Keywords

Approximate controllability / Neutral functional differential system / State-dependent delay / Analytic semigroup / Fractional power operator

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