Controllability and Observability for a Linear Time Varying System with Piecewise Constant Delay

Abstract

In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear time-varying control system with piecewise constant state variables. The controllability results can be understood in terms of classical control systems on intervals [k,k+1] with . We have preferred to use a global treatment instead of the reduction to a discrete equation. We also derive some results for the linear time-invariant case. Illustrative examples are presented.