Jak. Suykens et al., NONLINEAR H-INFINITY SYNCHRONIZATION OF LURE SYSTEMS - DYNAMIC OUTPUT-FEEDBACK CASE, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 44(11), 1997, pp. 1089-1092
In this letter we introduce a new master-slave synchronization scheme
for Lur'e systems, which makes use of vector field modulation and dyna
mic output feedback in order to recover a message signal, The synchron
ization scheme is represented in standard plant form according to mode
rn control theory, I/O properties of the scheme are analyzed using a d
issipativity approach with a quadratic storage function and a supply r
ate with finite L-2-gain. The method avoids transmission of the full s
tate vector, The controller design is based on a matrix inequality, co
rresponding to nonlinear H-infinity synchronization. The new scheme is
illustrated on Chua's circuit.