TY - JOUR
T1 - On synchronization of chaotic systems based on the Thau observer design
AU - Starkov, Konstantin E.
AU - Coria, Luis N.
AU - Aguilar, Luis T.
N1 - Funding Information:
This work was supported by CONACYT project 78890 “Analisis de localizacion de conjuntos compactos invariantes de sistemas no lineales con dinamica compleja y sus aplicaciones”, and DGEST project TIJ-IET-2009–217 “Comunicaciones seguras usando señales caóticas”.
PY - 2012/1
Y1 - 2012/1
N2 - In this paper we revisit the Thau observer design and concern its application to the synchronization problem of two Lorenz name related systems in the master-slave formalism. The first one is the Lorenz-Stenflo system possessing a positively invariant ellipsoid while another one is the hyperchaotic Lorenz system possessing a positively invariant cylinder. Information about loci of these invariant domains is applied for the observer design. Further, we present one assertion related to one spectral inequality arisen in the process of assigning stable spectrum to the observer matrix and show its use in the observer design. We demonstrate the efficiency of synchronization schemes for the both of systems with help of numerical simulation.
AB - In this paper we revisit the Thau observer design and concern its application to the synchronization problem of two Lorenz name related systems in the master-slave formalism. The first one is the Lorenz-Stenflo system possessing a positively invariant ellipsoid while another one is the hyperchaotic Lorenz system possessing a positively invariant cylinder. Information about loci of these invariant domains is applied for the observer design. Further, we present one assertion related to one spectral inequality arisen in the process of assigning stable spectrum to the observer matrix and show its use in the observer design. We demonstrate the efficiency of synchronization schemes for the both of systems with help of numerical simulation.
KW - Synchronization
KW - The Lorenz-Stenflo system
KW - The Thau observer
KW - The hyperchaotic Lorenz system
UR - http://www.scopus.com/inward/record.url?scp=79961025665&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2011.04.020
DO - 10.1016/j.cnsns.2011.04.020
M3 - Artículo de revisión
SN - 1007-5704
VL - 17
SP - 17
EP - 25
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 1
ER -