Journal
NEURAL NETWORKS
Volume 52, Issue -, Pages 25-32Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2014.01.004
Keywords
Discontinuous activation; Discontinuous controller; Finite-time stabilization; Neural network
Funding
- National Natural Science Foundation of China [61272530, 11226146, 61304174, 61104145]
- Natural Science Foundation of the Jiangsu Higher Education Institutions [12KJB120002]
- Basic Science Research Program through the National Research Foundation of Korea (NRF)
- Ministry of Education [2013R1A1A2A10005201]
Ask authors/readers for more resources
This paper is concerned with the finite-time stabilization for a class of neural networks (NNs) with discontinuous activations. The purpose of the addressed problem is to design a discontinuous controller to stabilize the states of such neural networks in finite time. Unlike the previous works, such stabilization objective will be realized for neural networks when the activations and controllers are both discontinuous. Based on the famous finite-time stability theorem of nonlinear systems and nonsmooth analysis in mathematics, sufficient conditions are established to ensure the finite-time stability of the dynamics of NNs. Then, the upper bound of the settling time for stabilization can be estimated in two forms due to two different methods of proof. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method. (C) 2014 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available