Abstract
In this paper we examine the approximate controllability in the space W2 × L2 of non-linear systems with delays in states and controls. If the uncontrolled system is asymptotically stable and if the linear part of the control system is controllable, then the non-linear delay system is approximately controllable. An upper bound on the magnitude of retardation for the system to be controllable is estimated. An example is given to demonstrate the practical verification of the new conditions
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