Exact Controllability Implies Completely Stabilizability of Perturbed Linear Time-Varying Nonlocal System in the Real Hilbert Space
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.
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