External Estimators of the Reachability Set of Nonlinear Discrete Systems

On the one hand, nonlinear discrete systems are natural generalization of linear discrete systems. On the other hand, various economic and, especially, technical systems have, basically, a nonlinear nature. Therefore, research of mathematical models of these systems is a relevant issue for implementing various procedures of systems analysis and decision making. Clusters of trajectories of the considered systems can be generated both by the parameters interpreted as control circuits, and by the parameters interpreted as perturbations. Quite general results of reachability sets estimation of nonlinear discrete systems, including a number of well-known achievements in this field as a consequence, are offered. As specification of these approaches, quadratic estimators of the reachability set of nonlinear discrete systems are received.