Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays | Zendy

Qi Luo | Zendy; Xinjie Miao | Zendy; Wei Qian | Zendy; Zhengxin Zhou | Zendy

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Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays

Author(s) -

Qi Luo,

Xinjie Miao,

Wei Qian,

Zhengxin Zhou

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/325310

Subject(s) - uniqueness , mathematics , differentiable function , exponential stability , equilibrium point , stability (learning theory) , algebraic number , artificial neural network , control theory (sociology) , point (geometry) , mathematical analysis , computer science , differential equation , control (management) , artificial intelligence , physics , geometry , quantum mechanics , nonlinear system , machine learning

This work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays

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