Finite-time synchronization of hyperchaotic systems based on feedback passivation

This paper proposes a scheme to realize finite-time synchronization of hyperchaotic systems using a feedback passivation technique. Although the technique is widely known, its utilization for finite-time control problems is still considered to be new since finite-time passivity has been just recently introduced. The proposed scheme consists of few design steps. First, a feedback is designed such that it yields finite-time stability for the zero-dynamics of the synchronization errors. Then, the synchronization errors is transformed into a finite-time passive system by an additional feedback. Consequently, the finite-time convergence of the synchronization errors is obtained. The hyperchaotic Lusystem and a 5D Lorenz-like system are used as examples to demonstrate the effectiveness of the scheme. (C) 2020 Elsevier Ltd. All rights reserved.