An open-plus-closed-loop control for discrete chaos and hyperchaos

An open-plus-closed-loop control law is presented for chaotic maps. Some entrainment capabilities for the logistic map, the Henon map and a hyperchaotic map are respectively analyzed. Numerical examples of controlling chaos are given to demonstrate the application of the method. The robustness to the model error is proved.  2001 Elsevier Science B.V. All rights reserved.