Journal
NEUROCOMPUTING
Volume 286, Issue -, Pages 1-10Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2018.01.049
Keywords
Fractional-order neural networks; Multistability; Piecewise constant arguments
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Funding
- Natural Science Foundation of China [61640309, 61773152]
- Natural Science Fund of Hubei Province of China [2017CFA034, 2016CFC735]
- Research Project of Hubei Provincial Department of Education of China [T201710]
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This paper discusses the multistability in Mittag-Leffler sense of fractional-order neural networks with piecewise constant arguments. According to the boundedness of activation functions and the model of fractional-order neural networks with piecewise constant arguments, n pairs of bounded functions are constructed. On the basis of the sign of the n pairs of bounded functions, the n-dimensional state space is divided into Pi(n)(i=1) (2L(i) + 1) regions. Sufficient conditions are derived to ensure that there exists at leat one equilibrium point in each one of these regions. In addition, Pi(n)(i=1) (L-i + 1) equilibrium points are locally Mittag-Leffler stable. Two numerical examples are provided to demonstrate the validity of the theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
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