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

作者：Kahng Byungik^*

来源：Journal of the Korean Mathematical Society, 2013, 50(1): 17-39.

DOI：10.4134/JKMS.2013.50.1.017

• nonlinear discrete-time control dynamical system
• disturbance
• invariance
• steady state
• controllability/reachability

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.

• 出版日期2013-1