Title :
Multi-delay dynamic neural group network global asymptotic stability and synchronization state analysis
Author :
Li, Xiang ; Li, Kai
Author_Institution :
Sch. of Inf. Sci. & Technol., Liaoning Univ., Shenyang, China
Abstract :
According to a multi-delay dynamic neural group network, the Lyapunov function is constructed firstly to achieve the judgment criteria of global asymptotical stability. Then, the synchronization states are analysized based on the complex coupled network. Through the Lyapunov stability theorem, the multi-delay dependent judgment criteria of synchronization states is presented. Finally, the controller is designed based on this structure. The simulation results demonstrate the effectiveness of this controller.
Keywords :
Lyapunov methods; asymptotic stability; delays; neurocontrollers; synchronisation; Lyapunov function; multidelay dependent judgment criteria; multidelay dynamic neural group network global asymptotic stability; synchronization state analysis; Artificial neural networks; Asymptotic stability; Biological system modeling; Brain modeling; Cellular neural networks; Hopfield neural networks; Lyapunov method; Neural networks; Neurons; Stability analysis; Multi-delay; globally asymptotical stability; neural group network; synchronization;
Conference_Titel :
Advanced Computer Control (ICACC), 2010 2nd International Conference on
Conference_Location :
Shenyang
Print_ISBN :
978-1-4244-5845-5
DOI :
10.1109/ICACC.2010.5487025
