Title :
Parameter dependent Lyapunov function for global chaos synchronization of discrete time hybrid systems
Author :
Daafouz, Jamal ; Millerioux, Gilles
Author_Institution :
ENSEM, Vandoeuvre, France
Abstract :
Consideration of global chaos synchronization as an observer design problem is addressed. Chaos generators gets the form of piecewise linear maps, a particular class of discrete time hybrid systems. This enables to derive sufficient conditions of global synchronization from robust control theory results. The use of a parameter dependant Lyapunov function of which parametrization is related to each local linear dynamics of the map leads to a reduction of the conservatism of the conditions involving a unique Lyapunov function
Keywords :
Lyapunov methods; chaos; discrete time systems; matrix algebra; robust control; synchronisation; Lyapunov function; global chaos synchronization; hybrid discrete time systems; linear matrix inequality; piecewise linear maps; robust control; sufficient conditions; Automatic control; Chaos; Chaotic communication; Lyapunov method; Piecewise linear techniques; Robust control; Stability; Sufficient conditions; Surges; Transmitters;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873986
