On constrained controllability of dynamical systems with multiple delays in control
Linear, continuous dynamical systems with multiple delays in control are studied. Their relative and absolute controllability with constrained control is discussed. Definitions of various types of constrained relative and absolute controllability for linear systems with delays in control are introduced. Criteria of relative and absolute controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative controllability of systems with and without delays are studied as well as implications between constrained relative and absolute controllability of systems with delay in control. The results are illustrated by examples.