Realizing hybrid synchronization of time-delay hyperchaotic 4D systems via partial variables

Autor:	Zuolei Wang, Jun Ma, Keming Tang, Xuerong Shi, Chao Wang, Hongsheng Cheng
Rok vydání:	2014
Předmět:	Lyapunov function Lyapunov stability State variable Computer simulation Applied Mathematics Exponential form Nonlinear Sciences::Chaotic Dynamics Computational Mathematics symbols.namesake Control theory Synchronization (computer science) symbols Response system Mathematics
Zdroj:	Applied Mathematics and Computation. 245:427-437
ISSN:	0096-3003
Popis:	Hybrid synchronization of time-delay hyperchaotic 4D systems with different initial conditions is investigated via partial variables. Based on the Lyapunov stability theory, sufficient conditions are given to get the hybrid synchronization by constructing a novel Lyapunov function in the form of exponential form. It is proved that some partial state variables of two time-delay hyperchaotic systems are anti-synchronized, while other state variables are complete synchronized, when one or two linear controllers are imposed on the response system. Simultaneously, the unknown parameters in the response system are also estimated completely. Numerical simulation results are presented to demonstrate the effectiveness of the proposed chaos synchronization scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7345117f76cf6a930141471f7e70e078 https://doi.org/10.1016/j.amc.2014.07.101 Zobrazit plný text záznamu Full Text from ScienceDirect