Paper Info
Title
New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system
Abstract
In this paper, by using the optimization idea, a new ultimate bound for the complex Lorenz system is derived. It is shown that a hyperelliptic estimate of the ultimate bound set can be analytically calculated based on the optimization method and the Lagrange multiplier method. And based on the ellipsoidal bound set and set operations, one further obtains a more conservative boundary for each variable in the complex system, which only relies on the system parameters. Afterwards, the estimated results are applied to the exponential finite-time synchronization of the complex Lorenz system. Especially, the designed control depends on the parameters of the exponential convergence rate, the finite-time convergence rate, the bound of the initial states of the master system, and the system parameter. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results.
Year
DOI
Venue
2015
10.1016/j.jco.2015.03.001
Journal of Complexity
Keywords
Field
DocType
Chaotic complex Lorenz system,Ultimate bound,Lagrange multiplier method,Optimization,Finite-time synchronization
Discrete mathematics,Synchronization,Ellipsoid,Exponential function,Mathematical analysis,Lagrange multiplier,Set operations,Lorenz system,Rate of convergence,Mathematics
Journal
Volume
Issue
ISSN
31
5
0885-064X
Citations 
PageRank 
References 
5
0.49
6
Authors
3
Name
Order
Citations
PageRank
Hassan Saberi Nik1688.32
Effati Sohrab227630.31
Jafar Saberi-Nadjafi3849.28