Reachability of Standard and Fractional Continuous-Time Systems with Piecewise Constant Inputs

The reachability of standard and fractional-order continuous-time systems with piecewise constant inputs is addressed. Necessary and sufficient conditions for the existence of such piecewise constant inputs that steers the system from zero initial conditions to the given final state in desired time are derived and proved. As examples of such systems the electrical circuits with DC switched voltage sources are presented.