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.
Byungik Kahng
University of North Texas at Dallas
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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