期刊
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
卷 32, 期 9, 页码 4191-4201出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2020.3017171
关键词
Switches; Synchronization; Actuators; Switched systems; Symmetric matrices; Neural networks; Fault-tolerant control; mode-dependent averaged dwell time (DT); switching; synchronization; time delay; transition probability
类别
资金
- National Natural Science Foundation of China (NSFC) [61673078]
- Natural Science Foundation of Zhejiang Province of China [LR20F030001, LD19A010001]
- Key Project of Natural Science Foundation of China [61833005]
- Polish National Science Centre [2017/27/B/ST6/02852]
- Basic and Frontier Research Project of Chongqing [cstc2018jcyjAX0369]
This article investigates global exponential synchronization for a class of switched discrete-time neural networks, considering transition probability and mode-dependent average dwell time switching. New Lyapunov-Krasovskii functionals and analytical techniques are developed to obtain sufficient conditions for ensuring global exponential synchronization almost surely. Numerical examples demonstrate the effectiveness of the theoretical analysis.
This article considers global exponential synchronization almost surely (GES a.s.) for a class of switched discrete-time neural networks (DTNNs). The considered system switches from one mode to another according to transition probability (TP) and evolves with mode-dependent average dwell time (MDADT), i.e., TP-based MDADT switching, which is more practical than classical average dwell time (ADT) switching. The logarithmic quantization technique is utilized to design mode-dependent quantized output controllers (QOCs). Noticing that external perturbations are unavoidable, actuator fault (AF) is also considered. New Lyapunov-Krasovskii functionals and analytical techniques are developed to obtain sufficient conditions to guarantee the GES a.s. It is discovered that the TP matrix plays an important role in achieving the GES a.s., the upper bound of the dwell time (DT) of unsynchronized subsystems can be very large, and the lower bound of the DT of synchronized subsystems can be very small. An algorithm is given to design the control gains, and an optimal algorithm is provided for reducing conservatism of the given results. Numerical examples demonstrate the effectiveness and the merits of the theoretical analysis.
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