Journal
NONLINEAR DYNAMICS
Volume 84, Issue 2, Pages 767-777Publisher
SPRINGER
DOI: 10.1007/s11071-015-2526-y
Keywords
Clifford-valued recurrent neural networks; Time delay; Global asymptotic stability; Global exponential stability
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Funding
- Zhejiang Provincial Natural Science Foundation of China [LY14A010008]
- National Natural Science Foundation of China [61573102, 61374077, 61174136, 61175119]
- China Postdoctoral Science Foundation [2015M580378]
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In this paper, we study an issue of stability analysis for Clifford-valued recurrent neural networks (RNNs) with time delays. As an extension of real-valued neural network, the Clifford-valued neural network, which includes familiar complex-valued neural network and quaternion-valued neural network as special cases, has been an active research field recently. To the best of our knowledge, the stability problem for Clifford-valued systems with time delays has still not been solved. We first explore the existence and uniqueness for the equilibrium of delayed Clifford-valued RNNs, based on which some sufficient conditions ensuring the global asymptotic and exponential stability of such systems are obtained in terms of a linear matrix inequality (LMI). The simulation result of a numerical example is also provided to substantiate the effectiveness of the proposed results.
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