Generalized stability for discontinuous complex-valued Hopfield neural networks via differential inclusions
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Publication:5243646
DOI10.1098/rspa.2018.0507zbMath1425.34073OpenAlexW2902563270WikidataQ90855148 ScholiaQ90855148MaRDI QIDQ5243646
Cao, Jinde, Zengyun Wang, Zhenyuan Guo, Li-Hong Huang
Publication date: 19 November 2019
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2018.0507
differential inclusionglobal stabilityconvergence in measureFilippov solutioncomplex-valued Hopfield neural network
Neural networks for/in biological studies, artificial life and related topics (92B20) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
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- Dissipativity analysis of memristor-based complex-valued neural networks with time-varying delays
- Multistability of complex-valued recurrent neural networks with real-imaginary-type activation functions
- LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations
- Complex-valued neural networks
- Generalized Lyapunov method for discontinuous systems
- Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses
- Stability and Hopf bifurcation analysis of fractional-order complex-valued neural networks with time delays
- Further analysis of global \(\mu\)-stability of complex-valued neural networks with unbounded time-varying delays
- Matrix measure method for global exponential stability of complex-valued recurrent neural networks with time-varying delays
- Exponential stability of impulsive complex-valued neural networks with time delay
- Dynamics of complex-valued fractional-order neural networks
- Non-fragile synchronization of memristive BAM networks with random feedback gain fluctuations
- Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- Multistability and multiperiodicity of delayed bidirectional associative memory neural networks with discontinuous activation functions
- A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
- New conformal mapping for adaptive resolving of the complex singularities of Stokes wave
- Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes
- Exponential Synchronization of Delayed Neural Networks With Discontinuous Activations
- Global convergence of neural networks with discontinuous neuron activations
- Unifying dynamical and structural stability of equilibria
- Neurons with graded response have collective computational properties like those of two-state neurons.
- M‐matrices and global convergence of discontinuous neural networks