CONTROL OF THE ENSEMBLE OF LINEAR TWO-PARAMETER DISCRETE SYSTEMS
И. В. Гайшун, V. V. Goryachkin, Valerii V. Krakhotko · Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series · 2018
The controllability of discrete systems with uncertainties is considered in this article. The concept of the ensemble of linear two-parameter discrete systems is introduced as a set of systems, whose coefficients belong to some given sets. The following problem is considered: for any initial state from the pre-assigned sets, one and the same control (universal control) is found for all ensemble systems reducing all solutions of these systems to a minimum zero neighborhood for finite time. In the case of interval uncertainty, finding the control is reduced to solving a nonlinear programming problem formulated in terms of the coefficients of the ensemble systems and the interval set of initial states. A constructive algorithm for building a desired control is proposed, an example is given.