Abstract

The finite-dimensional dynamical control system described by scalar semilinear ordinary differential state equation with delay is considered in this paper. The semilinear state equation contains both nonlinear perturbations and pure linear part. The concept of relative controllability on trajectory relative controllability for systems with point delay in control and in nonlinear term was extended. Finally, the remarks and comments on the relationships between different concepts of controllability were presented and the possible extensions proposed.

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