LTI Systems with Generalized Frequency Variables: A Unified Framework for Homogeneous Multi-agent Dynamical Systems

2009 ◽  
Vol 2 (5) ◽  
pp. 299-306 ◽  
Author(s):  
Shinji HARA ◽  
Tomohisa HAYAKAWA ◽  
Hikaru SUGATA
IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Jiaju Yu ◽  
Jiashang Yu ◽  
Pengfei Zhang ◽  
TingTing Yang ◽  
Xiurong Chen

1994 ◽  
Vol 04 (04) ◽  
pp. 979-998 ◽  
Author(s):  
CHAI WAH WU ◽  
LEON O. CHUA

In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua’s oscillator is robust.


2013 ◽  
Vol 9 (1) ◽  
pp. 306-312 ◽  
Author(s):  
Dongkun Han ◽  
Graziano Chesi ◽  
Yeung Sam Hung

2011 ◽  
Vol 22 (16) ◽  
pp. 1790-1805 ◽  
Author(s):  
Guanghui Wen ◽  
Zhisheng Duan ◽  
Zhongkui Li ◽  
Guanrong Chen

2013 ◽  
Vol 60 (10) ◽  
pp. 2679-2687 ◽  
Author(s):  
Wenwu Yu ◽  
Guanrong Chen ◽  
Ming Cao ◽  
Wei Ren

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