期刊
NEURAL NETWORKS
卷 168, 期 -, 页码 59-73出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2023.09.019
关键词
Complete synchronization; Discrete -time fractional -order; Fuzzy neural networks; Time -varying delays; Adaptive control
This paper addresses the complete synchronization problem for discrete-time fractional-order fuzzy neural networks with time-varying delays. A novel discrete-time adaptive controller with time-varying delay is proposed, and the effectiveness of the theoretical results is demonstrated through numerical examples.
This paper is concerned with complete synchronization for discrete-time fractional-order fuzzy neural networks (DFFNNs) with time-varying delays. First, three original equalities and two Caputo sigma-difference inequalities are established based on theory of discrete-time fractional Calculus. Next, a novel discrete-time adaptive controller with time-varying delay is designed, by virtue of 1-norm Lyapunov function and newly established lemmas herein as well as inequality techniques and contra-diction method, some judgement conditions are derived to guarantee complete synchronization for the explored DFFNNs. Benefitting from discrete-time adaptive control strategy and our analysis method, the conservatism of the derived synchronization criteria is reduced. Ultimately, the effectiveness of our theoretical results and secure communication scheme are demonstrated through two numerical examples. (c) 2023 Elsevier Ltd. All rights reserved.
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