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https://hdl.handle.net/2440/85022
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Type: | Journal article |
Title: | Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps |
Author: | Zhang, Y. Shi, P. Nguang, S. Zhang, J. Karimi, H. |
Citation: | Neurocomputing, 2014; 140:1-7 |
Publisher: | Elsevier Science |
Issue Date: | 2014 |
ISSN: | 0925-2312 1872-8286 |
Statement of Responsibility: | Yingqi Zhang, Peng Shi, Sing Kiong Nguang, Jianhua Zhang, Hamid Reza Karimi |
Abstract: | This paper is concerned with stochastic finite-time boundedness analysis for a class of uncertain discrete-time neural networks with Markovian jump parameters and time-delays. The concepts of stochastic finite-time stability and stochastic finite-time boundedness are first given for neural networks. Then, applying the Lyapunov approach and the linear matrix inequality technique, sufficient criteria on stochastic finite-time boundedness are provided for the class of nominal or uncertain discrete-time neural networks with Markovian jump parameters and time-delays. It is shown that the derived conditions are characterized in terms of the solution to these linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results. © 2014 Elsevier B.V. |
Keywords: | Markovian jump systems; neural networks; discrete-time systems; stochastic finite-time boundedness; linear matrix inequalities |
Rights: | © 2014 Elsevier B.V. All rights reserved. |
DOI: | 10.1016/j.neucom.2013.12.054 |
Published version: | http://dx.doi.org/10.1016/j.neucom.2013.12.054 |
Appears in Collections: | Aurora harvest 7 Electrical and Electronic Engineering publications |
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