A system of fractional-order interval projection neural networks

DOI10.1016/j.cam.2015.09.007zbMath1329.34013OpenAlexW1824806833MaRDI QIDQ893140

Yun-zhi Zou, Zeng-bao Wu, Nan-Jing Huang

Publication date: 13 November 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.007

zbMATH Keywords

equilibrium pointfractional-order calculus\(\alpha\)-exponential stabilityinterval projection neural networks

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (11)

On generalized global fractional-order composite dynamical systems with set-valued perturbations ⋮ New criteria for dissipativity analysis of fractional-order static neural networks ⋮ New results on stability for a class of fractional-order static neural networks ⋮ Global Mittag-Leffler projective synchronization for fractional-order neural networks: an LMI-based approach ⋮ A class of global fractional-order projective dynamical systems involving set-valued perturbations ⋮ Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian ⋮ Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments ⋮ On a system of fuzzy fractional differential inclusions with projection operators ⋮ Global synchronization in finite time for fractional-order neural networks with discontinuous activations and time delays ⋮ A new class of global fractional-order projective dynamical system with an application ⋮ Existence and stability results for multi-time scale stochastic fractional neural networks

Cites Work

• Unnamed Item
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• Unnamed Item
• Further results on global convergence and stability of globally projected dynamical systes
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Dynamical systems and variational inequalities
• On the stability of globally projected dynamical systems
• A fractional order nonlinear dynamical model of interpersonal relationships
• Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces
• On the stability of projected dynamical systems
• \(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks
• A nonlinear projection neural network for solving interval quadratic programming problems and its stability analysis
• Global fractional-order projective dynamical systems
• A new class of interval projection neural networks for solving interval quadratic program
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Stability of viscoelastic control systems
• Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems
• Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case

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