Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays
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Xiangying Fu
Abstract
This paper is concerned with a class of bidirectional associative memory (BAM) neural networks with discontinuous activations and time-varying delays. Under the basic framework of differential inclusions theory, the existence result of solutions in sense of Filippov solution is firstly established by using the fundamental solution matrix of coefficients and inequality analysis technique. Also, the boundness of the solutions can be estimated. Secondly, based on the non-smooth Lyapunov-like approach and by construsting suitable Lyapunov–Krasovskii functionals, some new sufficient criteria are given to ascertain the globally exponential stability of the anti-periodic solutions for the proposed neural network system. Furthermore, we have collated our effort with some previous existing ones in the literatures and showed that it can take more advantages. Finally, two examples with numerical simulations are exploited to illustrate the correctness.
Funding source: Anhui Normal University
Award Identifier / Grant number: 751965, China
Acknowledgments
The authors thank the anonymous reviewers for their insightful suggestions which improved this work significantly. The author expresses the sincere gratitude to Prof. Quanxin Zhu (Hunan Normal University) for the helpful discussion when this work was being carried out. This work is supported by Anhui Provincial Natural Science Foundation (No.2008085QA14) and Talent Foundation of Anhui Normal University (No.751965).
Authors’ contributions: All authors read and approved the manuscript.
Research funding: None declared.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- ANFIS based system identification of underactuated systems
- The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation
- A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation
- Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation
- A multivariate spectral quasi-linearization method for the solution of (2+1) dimensional Burgers’ equations
- Global dissipativity and exponential synchronization of mixed time-varying delays neural networks with discontinuous activations
- Integrodifference master equation describing actively growing blood vessels in angiogenesis
- On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on product Lp and weighted Lp spaces
- Approximate controllability of nonlinear Hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps
- Lie symmetries and singularity analysis for generalized shallow-water equations
- Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
- Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals
- Lie symmetry analysis and similarity solutions for the Jimbo – Miwa equation and generalisations
- The barotropic Rossby waves with topography on the earth’s δ-surface
- Synchronization control between discrete uncertain networks with different topologies
- Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions
- Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays
- A parallel hybrid implementation of the 2D acoustic wave equation
- Approximate controllability of fractional stochastic evolution equations with nonlocal conditions
- Fractional (3+1)-dim Jimbo Miwa system: invariance properties, exact solutions, solitary pattern solutions and conservation laws
- Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- ANFIS based system identification of underactuated systems
- The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation
- A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation
- Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation
- A multivariate spectral quasi-linearization method for the solution of (2+1) dimensional Burgers’ equations
- Global dissipativity and exponential synchronization of mixed time-varying delays neural networks with discontinuous activations
- Integrodifference master equation describing actively growing blood vessels in angiogenesis
- On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on product Lp and weighted Lp spaces
- Approximate controllability of nonlinear Hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps
- Lie symmetries and singularity analysis for generalized shallow-water equations
- Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
- Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals
- Lie symmetry analysis and similarity solutions for the Jimbo – Miwa equation and generalisations
- The barotropic Rossby waves with topography on the earth’s δ-surface
- Synchronization control between discrete uncertain networks with different topologies
- Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions
- Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays
- A parallel hybrid implementation of the 2D acoustic wave equation
- Approximate controllability of fractional stochastic evolution equations with nonlocal conditions
- Fractional (3+1)-dim Jimbo Miwa system: invariance properties, exact solutions, solitary pattern solutions and conservation laws
- Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber
