Title :
Two Novel Synchronization Criteria for Unified Chaotic Systems via LMI
Author :
Deng, Kuibiao ; Yu, Simin ; Zhang, Chaoxia
Author_Institution :
Coll. of Autom., Guangdong Univ. of Technol., Guangzhou, China
Abstract :
In this paper, based on LaSalle´s invariance principle and linear matrix inequality (LMI), two novel synchronization criteria for the unified chaotic systems with known or unknown parameters are investigated. In comparison with previous methods, the presented controller contains single state feedback. To our knowledge, the above control scheme is the simplest for synchronizing the unified chaotic system. The theoretical analysis and numerical simulation results are also given, conforming the effectiveness of the proposed scheme.
Keywords :
chaos; invariance; linear matrix inequalities; nonlinear control systems; numerical analysis; state feedback; synchronisation; LaSalle´s invariance principle; linear matrix inequality; numerical simulation; state feedback; synchronization criteria; unified chaotic system; Conferences; Chaos synchronization; LaSalle¡¯s invariance principle; Linear matrix inequality (LMI); Unified chaotic system;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.34