Title :
Fast-switching pulse synchronization of chaotic oscillators
Author :
Fiorilli, Francesca ; Porfiri, Maurizio
Author_Institution :
Dept. of Mech. Eng., Polytech. Univ., Brooklyn, NY
Abstract :
We study pulse synchronization of chaotic systems in master-slave configuration. The slave system is unidirectionally coupled to the master system through an intermittent linear error feedback coupling, whose gain matrix periodically switches among a finite set of constant matrices. Using Lyapunov-stability theory, fast-switching techniques, and the concept of matrix measure, we derive sufficient conditions for global synchronization. The derived conditions are specialized to the case of Chua´s circuits. An inductorless realization of coupled Chua´s circuits is developed to illustrate the effectiveness of the proposed approach.
Keywords :
chaos; feedback; matrix algebra; nonlinear control systems; oscillators; stability; synchronisation; Chuas circuits; Lyapunov-stability theory; chaotic oscillators; fast-switching pulse synchronization; intermittent linear error feedback coupling; master-slave configuration; matrix measure; Animals; Chaos; Chaotic communication; Coupling circuits; Master-slave; Oscillators; Pulse measurements; Sufficient conditions; Switches; Symmetric matrices; Chua’s circuits; Global synchronization; fast-switching; master-slave synchronization;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587301