A Method of Finding Discrete Controls for Switched Dynamical Systems by Applying Continued Fractions

Control systems with a finite number of control settings are considered. It is assumed that any polysystem operates in continuous time and control switchings occur at some certain discrete time instants. A control goal is to transfer a polysystem from an initial state to a final state. Controllability of systems switched in discrete time is studied. Controls are constructed by using the theory of generalized multicomponent continued fractions and the congruences theory. Applications of the proposed control method to specific systems are discussed.

Automated summary

This study examines the controllability of systems switched in discrete time, constructing controls using the theory of generalized multicomponent continued fractions and the congruences theory. The proposed control method is applied to specific systems to achieve the control goal of transferring a polysystem from an initial state to a final state.