Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 44, Issue 12, Pages 2635-2645Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2014.2312004
Keywords
Actuator saturation; chaotic systems; local synchronization; neural networks; sampled-data control
Categories
Funding
- Australian Research Council [DP140102180]
- National Key Basic Research Program of China (973 Program) [2011CB710706, 2012CB215202]
- 111 Project [B12018]
- National High Technology Research and Development Program of China (863 Program) [2012AA040305]
- National Natural Science Foundation of China [61174058, 60974052, 61134001, 61320106009, 61134007, 61304072]
Ask authors/readers for more resources
This paper investigates the problem of local synchronization of chaotic neural networks with sampled-data and actuator saturation. A new time-dependent Lyapunov functional is proposed for the synchronization error systems. The advantage of the constructed Lyapunov functional lies in the fact that it is positive definite at sampling times but not necessarily between sampling times, and makes full use of the available information about the actual sampling pattern. A local stability condition of the synchronization error systems is derived, based on which a sampled-data controller with respect to the actuator saturation is designed to ensure that the master neural networks and slave neural networks are locally asymptotically synchronous. Two optimization problems are provided to compute the desired sampled-data controller with the aim of enlarging the set of admissible initial conditions or the admissible sampling upper bound ensuring the local synchronization of the considered chaotic neural networks. A numerical example is used to demonstrate the effectiveness of the proposed design technique.
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