On Finding Switching Instants for Control of Discrete-time Dynamical Polysystems by Using Continued Fractions

In this paper, dynamical polysystems with piecewise constant controls are considered. Provided that the dynamical system is controllable in continuous time, the question of its controllability in discrete time is also studied. Controls in discrete time are constructed by using the theory of multidimensional continued fractions. These continued fractions approximate the control switching instants for continuous time.