Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
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Grienggrai Rajchakit
,
Ramalingam Sriraman
Abstract
This article discusses the dissipativity analysis of stochastic generalized neural network (NN) models with Markovian jump parameters and time-varying delays. In practical applications, most of the systems are subject to stochastic perturbations. As such, this study takes a class of stochastic NN models into account. To undertake this problem, we first construct an appropriate Lyapunov–Krasovskii functional with more system information. Then, by employing effective integral inequalities, we derive several dissipativity and stability criteria in the form of linear matrix inequalities that can be checked by the MATLAB LMI toolbox. Finally, we also present numerical examples to validate the usefulness of the results.
Funding source: Thailand Research Fund
Award Identifier / Grant number: RSA6280004
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Author contribution: Funding acquisition, G.R.; Conceptualization, G.R.; Software, G.R. and R.S. (R. Sriraman); Formal analysis, G.R.; Methodology, G.R.; Supervision, R.S. (R. Samidurai); Writing–original draft, G.R.; Validation, G.R.; Writing– review and editing, G.R. All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This research work was supported by the Thailand Research Research Grant Fund (RSA6280004) and Maejo University, Thailand.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation
- Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
- Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition
- The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
- Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method
- Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
- Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
- Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls
- 3D structure of single and multiple vortices in a flow under rotation
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation
- Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
- Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition
- The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
- Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method
- Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
- Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
- Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls
- 3D structure of single and multiple vortices in a flow under rotation
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources
