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http://dx.doi.org/10.4134/JKMS.2013.50.1.017

MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISCRETE-TIME CONTROL DYNAMICAL SYSTEMS WITH DISTURBANCE  

Kahng, Byungik (Department of Mathematics and Information Sciences University of North Texas at Dallas)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 17-39 More about this Journal
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;
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