Mean square stability and almost sure exponential stability of two step Maruyama methods of stochastic delay Hopfield neural networks
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Publication:2008809
DOI10.1016/j.amc.2018.11.063zbMath1429.65021OpenAlexW2905092609WikidataQ115598153 ScholiaQ115598153MaRDI QIDQ2008809
A. Rathinasamy, J. Narayanasamy
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.11.063
almost sure exponential stabilityHopfield neural networksmean square stabilitystochastic delay differential equationstwo step Maruyama methods
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural networks for/in biological studies, artificial life and related topics (92B20) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items (12)
Stability of traveling waves solutions for nonlinear cellular neural networks with distributed delays ⋮ Pullback attractor of Hopfield neural networks with multiple time-varying delays ⋮ Boundedness analysis of non-autonomous stochastic differential systems with Lévy noise and mixed delays ⋮ Exponential stability of stochastic Hopfield neural network with mixed multiple delays ⋮ Stability analysis of stochastic BAM neural networks with reaction-diffusion, multi-proportional and distributed delays ⋮ \(p\)th moment asymptotic interval stability and stabilization of linear stochastic systems via generalized \(\mathcal{H} \)-representation ⋮ Stability analysis of impulsive stochastic delayed Cohen-Grossberg neural networks driven by Lévy noise ⋮ The balanced split step theta approximations of stochastic neutral Hopfield neural networks with time delay and Poisson jumps ⋮ Unnamed Item ⋮ Periodic dynamics for nonlocal Hopfield neural networks with random initial data ⋮ On stability of neutral-type linear stochastic time-delay systems with three different delays ⋮ Strong convergence and almost sure exponential stability of balanced numerical approximations to stochastic delay Hopfield neural networks
Cites Work
- Mean square stability of two classes of theta method for neutral stochastic differential delay equations
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form
- Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation
- Almost sure exponential stability of numerical solutions to stochastic delay Hopfield neural networks
- Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function
- The split-step \(\theta \)-methods for stochastic delay Hopfield neural networks
- Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations
- Exponential stability of stochastic delayed Hopfield neural networks
- Mean square exponential stability of stochastic delayed Hopfield neural networks
- Exponential stability of numerical solutions to stochastic delay Hopfield neural networks
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations
- Almost sure exponential stability of delayed Hopfield neural networks
- Almost sure exponential stability of neutral stochastic differential difference equations
- Stability analysis of stochastic delay differential equations with Lévy noise
- On mean-square stability of two-step Maruyama methods for nonlinear neutral stochastic delay differential equations
- Stability analysis of semi-Markov switched stochastic systems
- On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations
- Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations
- Mean square stability of semi-implicit Euler method for linear stochastic differential equations with multiple delays and Markovian switching
- A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations
- An analysis of stability of Milstein method for stochastic differential equations with delay
- Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
- Mean-Square and Asymptotic Stability of the Stochastic Theta Method
- Stability Analysis of Numerical Schemes for Stochastic Differential Equations
- Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- Mean-square stability of the Euler–Maruyama method for stochastic differential delay equations with jumps
- Multi-Step Maruyama Methods for Stochastic Delay Differential Equations
- Stability of stochastic delay neural networks
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