Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2013; 50(1): 17-39

Printed January 1, 2013

https://doi.org/10.4134/JKMS.2013.50.1.17

Copyright © The Korean Mathematical Society.

Multiple valued iterative dynamics models of nonlinear discrete-time control dynamical systems with disturbance

Byungik Kahng

University of North Texas at Dallas

Abstract

The study of nonlinear discrete-time control dynamical systems with disturbance is an important topic in control theory. In this paper, we concentrate our efforts to multiple valued iterative dynamical systems, which model the nonlinear discrete-time control dynamical systems with disturbance. After establishing the validity of such modeling, we study the invariant set theory of the multiple valued iterative dynamical systems, including the controllability/reachablity problems of the maximal invariant sets.

Keywords: nonlinear discrete-time control dynamical system, disturbance, invariance, steady state, controllability/reachability

MSC numbers: Primary 37N35, 93B05, 93C10, 93C30, 93C55; Secondary 93A30, 93B03, 93B52, 93C85

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