Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/109205
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Reachable set estimation for Markovian jump neural networks with time-varying delays |
Author: | Xu, Z. Su, H. Shi, P. Lu, R. Wu, Z. |
Citation: | IEEE Transactions on Cybernetics, 2017; 47(10):3208-3217 |
Publisher: | IEEE |
Issue Date: | 2017 |
ISSN: | 2168-2267 2168-2275 |
Statement of Responsibility: | Zhaowen Xu, Hongye Su, Peng Shi, Renquan Lu, Zheng-Guang Wu |
Abstract: | In this paper, the reachable set estimation problem is investigated for Markovian jump neural networks (NNs) with time-varying delays and bounded peak disturbances. Our goal is to find a set as small as possible which bounds all the state trajectories of the NNs under zero initial conditions. In the framework of Lyapunov-Krasovskii theorem, a newly-found summation inequality combined with the reciprocally convex approach is used to bound the difference of the proposed Lyapunov functional. A new less conservative condition dependent on the upper bound, the lower bound and the delay range of the time delay is established to guarantee that the state trajectories are bounded within an ellipsoid-like set. Then the result is extended to the case with incomplete transition probabilities and a more general condition is derived. Finally, examples including a genetic regulatory network are given to demonstrate the usefulness and the effectiveness of the results obtained in this paper. |
Keywords: | Markovian jump systems; neural networks (NNs); reachable set estimation |
Rights: | © 2016 IEEE. |
DOI: | 10.1109/TCYB.2016.2623800 |
Grant ID: | http://purl.org/au-research/grants/arc/DP140102180 http://purl.org/au-research/grants/arc/LP140100471 61573112 61304072 |
Published version: | http://dx.doi.org/10.1109/tcyb.2016.2623800 |
Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.