Title :
Exponential Synchronization of Discrete-Time Chaotic Delayed Neural Networks
Author :
Liu, Meiqin ; Zhang, Senlin ; Zu, Dingding
Author_Institution :
Coll. of Electr. Eng., Zhejiang Univ. Hangzhou, Hangzhou, China
Abstract :
This paper investigates exponential synchronization problem of general discrete-time chaotic delayed neural networks. Based on Lyapunov stability theory, the dynamic output feedback controller is established to guarantee exponential stable synchronization of both master and slave systems with time delays. The control design equation is shown to be a linear matrix inequality (LMI) standard problem which can be easily solved by MATLAB LMI Control Toolbox to determine the synchronization control law. Most chaotic neural networks can be transformed into this general chaotic neural network to be synchronization controller designed in a unified way.
Keywords :
Lyapunov methods; chaotic communication; delays; discrete time systems; exponential distribution; feedback; linear matrix inequalities; mathematics computing; neural nets; satellite computers; synchronisation; Lyapunov stability theory; MATLAB LMI control toolbox; chaotic neural networks; discrete time chaotic; dynamic output feedback controller; exponential stable synchronization; exponential synchronization problem; linear matrix inequality; neural networks; slave systems; synchronization control law; time delays; Chaos; Control design; Control systems; Delay effects; Equations; Linear matrix inequalities; Lyapunov method; Master-slave; Neural networks; Output feedback; Exponential synchronization; chaotic neural network; drive-response conception; dynamic output feedback control; linear matrix inequality (LMI);
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.90
