Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 26, Issue 6, Pages 1300-1311Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2014.2354432
Keywords
Global exponential synchronization; memristive neural network (MNN); nonlinear coupling; synchronization manifold
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Funding
- Research Grants Council, Hong Kong [CUHK416811E]
- China Post-Doctoral Science Foundation [2013M542104, 2012T50714]
- Science and Technology Plan of Hunan Province [2014RS4030]
- National Natural Science Foundation of China [11101133]
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This paper presents theoretical results on the global exponential synchronization of multiple memristive neural networks with time delays. A novel coupling scheme is introduced, in a general topological structure described by a directed or undirected graph, with a linear diffusive term and discontinuous sign term. Several criteria are derived based on the Lyapunov stability theory to ascertain the global exponential stability of synchronization manifold in the coupling scheme. Simulation results for several examples are given to substantiate the effectiveness of the theoretical results.
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