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Dynamics of bidirectional associative memory networks with distributed delays and reaction–diffusion terms

Nonlinear Analysis: Real World Applications, 2007
In this paper, the periodic oscillatory solution and stability are investigated for a class of bidirectional associative memory neural networks with distributed delays and reaction–diffusion terms. By constructing a new Lyapunov functional, applying M-matrix theory and inequality technique, several novel sufficient conditions are derived to ensure the ...
Qiankun Song, Jinde Cao
openaire   +2 more sources

Boundedness and exponential stability for nonautonomous FCNNs with distributed delays and reaction–diffusion terms

Neurocomputing, 2010
In this paper, the boundedness and exponential stability for nonautonomous fuzzy cellular neural networks (FCNNs) with distributed delays and reaction-diffusion terms are investigated. By constructing suitable Lyapunov functional, introducing ingeniously some real parameters and applying the elementary inequality, we establish a series of criteria on ...
Shuyun Niu, Zhidong Teng, Haijun Jiang
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New Results on Exponential Convergence for HRNNs with Continuously Distributed Delays in the Leakage Terms

Neural Processing Letters, 2013
This paper concerns with exponential convergence for a class of high-order recurrent neural networks with continuously distributed delays in the leakage terms. Without assuming the boundedness on the activation functions, some sufficient conditions are derived to ensure that all solutions of the networks converge exponentially to the zero point by ...
Yuehua Yu, Weidong Jiao
openaire   +1 more source

General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms

Mathematical methods in the applied sciences, 2020
In this paper, we consider a nonlinear viscoelastic Kirchhoff equation with the presence of both distributed delay term, Balakrishnan‐Taylor damping, and logarithmic nonlinearity.
Abdelbaki Choucha   +3 more
semanticscholar   +1 more source

Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms

Mathematical methods in the applied sciences, 2020
In this paper, we consider a coupled Lame system with the presence of distributed delay term, viscoelastic, and logarithmic source terms. We describe an exponential decay of solutions, where an asymptotic stability result of global solution is obtained ...
Abdelbaki Choucha   +2 more
semanticscholar   +1 more source

Well-posedness and general energy decay for a nonlinear piezoelectric beams system with magnetic and thermal effects in the presence of distributed delay

Journal of thermal stresses
In this paper, we consider one-dimensional nonlinear piezoelectric beams with thermal and magnetic effects in the presence of a distributed delay term acting on the heat equation.
Hassan Messaoudi, M. Douib, S. Zitouni
semanticscholar   +1 more source

Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey

, 2020
In this paper, we analyze two stochastic predator–prey models with distributed delay and stage structure for prey. For the nonautonomous periodic case of the model, by using Khasminskii’s theory of periodic solution, we show that the system has at least ...
Qun Liu, D. Jiang, T. Hayat
semanticscholar   +1 more source

Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity

Nonlinearity
This paper is concerned with a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity. The distributed delay is represented by an integral operator integrating on the delay interval, which considers a segment of the past
B. Feng
semanticscholar   +1 more source

Delay-Dependent LMI Conditions for Stability of Stochastic Systems with Delay Term in the Form of Stieltjes Integral

IEEE Conference on Decision and Control, 2018
Stochastic LTI system is considered with a delay term described by Stieitjes integral. This includes systems with discrete or distributed delays. Two Lyapunov-based methods for the asymptotic mean square stability are presented that lead to sufficient ...
E. Fridman, L. Shaikhet
semanticscholar   +1 more source

Exponential Dissipativity of Non-autonomous Neural Networks with Distributed Delays and Reaction-Diffusion Terms

2006
In this paper, a class of non-autonomous neural networks with distributed delays and reaction-diffusion terms is considered. Employing the properties of diffusion operator and the techniques of inequality, we investigate positive invariant set, global exponential stability, and then obtain the exponential dissipativity of the neural networks under ...
Yumei Huang, Zhiguo Yang, Daoyi Xu
openaire   +2 more sources

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