Nonlinear Phenomena in Complex Systems, 2021, Vol.24, No.2, pp.175

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2021, Vol.24, No.2, pp.175 - 183

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

S. M. Khryashchev

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.

Key words: control switched systems, continued fractions

DOI: https://doi.org/10.33581/1561-4085-2021-24-2-175-183

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