ON THE CONTROLLABILITY OF A NON-LINEAR SYSTEM WITH RESTRICTED PERIODIC CONTROL LINEAR SYSTEMS

Eze Everestus Obinwanne, Udaya Collins Okechukwu and Agwu Emeka Uchendu

Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria.

Abstract

“Can an arbitrary initial state be transferred to an arbitrary final state in a finite time through the action of some controls?” That is the problem of controllability of dynamic control systems. The objective of this paper is to investigate the controllability of a non-linear system with restricted periodic control linear system. The proof was shown to exist and thus the system was confirmed to be completely periodically controllable in the closed interval at a finite time. Hence the controllability question was answered.

Keywords: Controllability, Periodic Control System, Non-linear, Restricted.

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