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Document Type

Article

Abstract

This paper deals with the problem of controllability and stabilizability of the perturbed linear time-varying nonlocal system defined in some suitable real Hilbert space. The aim of this paper is to show that any globally null-controllable system is completely stabilizability and conversely, under some additional conditions the complete stabilizability implies global null-controllability.

Keywords

perturbed linear Time-Varying nonlocal systems, Semigroup theory, Perturbation theory, Controllability, Stabilizability, Hilbert space, and Riccati equation.

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