Title :
Robust Exponential Stability for Time-Delays Neural Networks with Discontinuous Activation Functions
Author :
Wu, Xiru ; Wang, Yaonan ; Wu, Jingbing ; Cao, Wenming ; Huang, Lihong
Author_Institution :
Coll. of Electr. & Inf. Technol., Hunan Univ., Changsha, China
Abstract :
In this paper, we considers the global robust exponential stability of uncertain neural networks with discontinuous activation functions and time-varying delays. Based on the Lyapunov-Krasovskii stability theory, we originally analyze the global robust exponential stability of discontinuous neural networks with time-varying delays using the linear matrix inequalities (LMIs). Thus, our results are brand new compared to previous literature. A numerical example is given to validate the effectiveness of our results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neurocontrollers; time-varying systems; uncertain systems; LMI; Lyapunov-Krasovskii stability theory; discontinuous activation functions; discontinuous neural networks; global robust exponential stability; linear matrix inequalities; time-varying delays; uncertain neural networks; Convergence; Educational institutions; Information technology; Linear matrix inequalities; Neural networks; Neurons; Robust stability; Stability analysis; Symmetric matrices; Uncertainty;
Conference_Titel :
Biomedical Engineering and Computer Science (ICBECS), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5315-3
DOI :
10.1109/ICBECS.2010.5462306