Paper Info
Title
Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay.
Abstract
This article mainly concerns the synchronization in finite-time to the time-varying delay fractional order memristive competitive neural networks (TMFCNNs) with leakage delay. By means of Fillipov’s theory, Gronwall–Bellman integral inequality, Ho¨lder’s inequality, and the Caputo derivative properties, the novel algebraic sufficient conditions are proposed to guarantee the synchronization in finite time of addressing TMFCNNs with non-integer order: 0<p<12 and 12≤p<1 via finite-time output feedback controller. Up to now, there are no relevant results in fractional order competitive-type neural networks, and this article makes filling up for this gap. The obtained results are improved to some existing results on integer-order memristive competitive neural networks. Finally, two numerical examples with simulations are also designed to confirm the merits of the proposed theoretical results, while we estimate the upper bound of the settling time for the synchronization errors.
Year
DOI
Venue
2018
10.1016/j.neucom.2018.08.016
Neurocomputing
Keywords
Field
DocType
Synchronization in finite time,Competitive-type neural networks,Memristor,Fractional order,Time-varying delay,Leakage delay
Synchronization,Algebraic number,Feedback controller,Leakage (electronics),Pattern recognition,Settling time,Upper and lower bounds,Control theory,Artificial intelligence,Artificial neural network,Mathematics,Finite time
Journal
Volume
ISSN
Citations 
317
0925-2312
3
PageRank 
References 
Authors
0.38
31
5
Name
Order
Citations
PageRank
A. Pratap1162.25
R. Raja218012.58
Jinde Cao311399733.03
Grienggrai Rajchakit410011.87
Fuad E. Alsaadi51818102.89