TY - GEN
T1 - Global synchronization of biological network systems with time-varying delays
AU - Zeng, Xianlin
AU - Hui, Qing
PY - 2012
Y1 - 2012
N2 - This paper focuses on global synchronization of a class of biological network systems with time-varying delays. In particular, an excitatory and inhibitory biological neuronal network system with time-varying delays is proposed and its global synchronization is then further investigated. Some sufficient conditions for global synchronization of this system are attained based on Barbalat's lemma and linear matrix inequalities (LMIs). Moreover, an intriguing scenario of such a system asymptotically converging to a constant time-delay system (called a limiting delay system) is also discussed, and the result is obtained by saying that the original system is globally asymptotically synchronized if the new constant time-delay system is globally asymptotically synchronized under some conditions. Two numerical examples are given to illustrate the effectiveness of the proposed results.
AB - This paper focuses on global synchronization of a class of biological network systems with time-varying delays. In particular, an excitatory and inhibitory biological neuronal network system with time-varying delays is proposed and its global synchronization is then further investigated. Some sufficient conditions for global synchronization of this system are attained based on Barbalat's lemma and linear matrix inequalities (LMIs). Moreover, an intriguing scenario of such a system asymptotically converging to a constant time-delay system (called a limiting delay system) is also discussed, and the result is obtained by saying that the original system is globally asymptotically synchronized if the new constant time-delay system is globally asymptotically synchronized under some conditions. Two numerical examples are given to illustrate the effectiveness of the proposed results.
KW - Biological network systems
KW - Global synchronization
KW - Limiting systems
KW - Linear matrix inequalities (LMIs)
UR - http://www.scopus.com/inward/record.url?scp=84881003438&partnerID=8YFLogxK
U2 - 10.3182/20120620-3-MX-3012.00061
DO - 10.3182/20120620-3-MX-3012.00061
M3 - Conference contribution
AN - SCOPUS:84881003438
SN - 9783902823021
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 75
EP - 80
BT - 3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
PB - IFAC Secretariat
T2 - 3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
Y2 - 20 June 2012 through 22 June 2012
ER -