Paper Info
Title
Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters.
Abstract
The problem of hybrid projective synchronization (HPS) strategies and control for the Baier–Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters is considered. Based on the Lasalle invariance principle and adaptive control method, adaptive controllers and parameters update laws are given for the HPS between two identical hyper-chaotic systems with fully unknown parameters. Using this method, the Baier–Sahle hyperchaotic flow in arbitrary dimensions is controlled to the unsteady equilibrium points. The Baier–Sahle hyperchaotic flow is a useful choice for this analysis, since it is a standard model of hyperchaos, yet it is simple enough to be analytically tractable. In particular, the Baier–Sahle hyperchaotic flow has been proposed as an N dimensional nonlinear system model giving the maximal number of positive Lyapunov exponents (N-2). Both a rigorous theoretical analysis and direct numerical simulations are provided to demonstrate the control of hyperchaos in this model. The results suggest that the methods used here can be applied to more complicated models from which hyperchaos arises.
Year
DOI
Venue
2014
10.1016/j.amc.2014.08.108
Applied Mathematics and Computation
Keywords
Field
DocType
Hyperchaos control,Hybrid projective synchronization,Nonlinear feedback controller,Lasalle invariance principle
Standard Model,Nonlinear system,Invariance principle,Control theory,Flow (psychology),Equilibrium point,Adaptive control,Mathematics,Lyapunov exponent,Projective synchronization
Journal
Volume
ISSN
Citations 
248
0096-3003
4
PageRank 
References 
Authors
0.47
13
4
Name
Order
Citations
PageRank
Hassan Saberi Nik1688.32
Jafar Saberi-Nadjafi2849.28
Effati Sohrab327630.31
Robert A. Van Gorder412727.49