New delay-dependent stability criteria for switched Hopfield neural networks of neutral type with additive time-varying delay components

Dharani, S.; Rakkiyappan, R.; Cao, Jinde

doi:10.1016/j.neucom.2014.10.014

Cited by 62 publications

(33 citation statements)

References 39 publications

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“…Note that various classes of neural networks such as Hopfield neural networks [17,18], recurrent neural networks [19,20], cellular neural networks [21], Cohen-Grossberg neural networks [22], and bidirectional associative memory (BAM) neural networks [23][24][25] have been widely used in solving some signal processing, optimization, and image processing problems. In the last few years, some researchers have introduced fractional operators to neural networks to form fractional-order neural models [26][27][28][29][30], which could better describe the dynamical behaviors of the neurons.…”

Section: Introductionmentioning

confidence: 99%

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Zhang

Cao

et al. 2017

Complexity

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This paper investigates the existence and globally asymptotic stability of equilibrium solution for Riemann-Liouville fractionalorder hybrid BAM neural networks with distributed delays and impulses. The factors of such network systems including the distributed delays, impulsive effects, and two different fractional-order derivatives between the -layer and -layer are taken into account synchronously. Based on the contraction mapping principle, the sufficient conditions are derived to ensure the existence and uniqueness of the equilibrium solution for such network systems. By constructing a novel Lyapunov functional composed of fractional integral and definite integral terms, the globally asymptotic stability criteria of the equilibrium solution are obtained, which are dependent on the order of fractional derivative and network parameters. The advantage of our constructed method is that one may directly calculate integer-order derivative of the Lyapunov functional. A numerical example is also presented to show the validity and feasibility of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Zhang

Cao

et al. 2017

Complexity

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“…Hopfield neural networks have already been successfully applied in many different areas such as combinatorial optimization, knowledge acquisition and pattern recognition. Such applications strongly depend on the stability of the equilibrium point of the networks [1][2][3][4][5][6]. But the equilibrium point sometimes does not exist in many real physical systems.…”

Section: Introduction Preliminariesmentioning

confidence: 99%

Global attracting set for a class of delayed Hopfield neural networks

Zhou¹,

Wan²

2017

Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017

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Abstract. The asymptotic behaviors of a class of delayed Hopfield neural networks are investigated. By applying the property of nonnegative matrix and an integral inequality, some novel sufficient conditions are derived to ensure the existence of the global attracting set and the stability in a Lagrange sense for the considered networks. Finally, a numerical example is given to demonstrate the effectiveness of our theoretical result. Our criteria are easily tested by Matlab LMI Toolbox.

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“…In implementation of neural networks, however, time delays are unavoidably encountered [2]. Therefore, stability analysis of neural networks with time delays has received much attention, for example, see [1]- [8] and references therein. Therefore, stability analysis of neural networks with time delays has received much attention, for example, see [1]- [8] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Stability criterion of complex-valued neural networks with both leakage delay and time-varying delays on time scales

2016

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New delay-dependent stability criteria for switched Hopfield neural networks of neutral type with additive time-varying delay components

Cited by 62 publications

References 39 publications

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Global attracting set for a class of delayed Hopfield neural networks

Stability criterion of complex-valued neural networks with both leakage delay and time-varying delays on time scales

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