Targeting moving targets in chaotic dynamical systems

摘要

In this paper, the problem of targeting moving targets in discrete chaotic dynamical systems is considered. The aim is to derive open-loop controls from methods of optimal control theory and use them to obtain global (sub)optimal targeting feedback controllers, i.e. interpolated spline surface controls. The performance of these targeting controllers in the presence of random dynamical noise is illustrated, both in the case of disturbances in the initial condition and with random system disturbances during the targeting process.