Exponential Convergence of Delayed Dynamical Systems
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Publication:4814217
DOI10.1162/089976601300014484zbMath1083.34534OpenAlexW2098103010WikidataQ52067125 ScholiaQ52067125MaRDI QIDQ4814217
Shun-ichi Amari, Tian-Ping Chen
Publication date: 7 September 2004
Published in: Neural Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1162/089976601300014484
Learning and adaptive systems in artificial intelligence (68T05) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)
Related Items (9)
Some sufficient conditions for global exponential stability of delayed Hopfield neural networks ⋮ Novel results concerning global robust stability of delayed neural networks ⋮ Centralized and decentralized global outer-synchronization of asymmetric recurrent time-varying neural network by data-sampling ⋮ ROBUST SYNCHRONIZATION CRITERIA FOR RECURRENT NEURAL NETWORKS VIA LINEAR FEEDBACK ⋮ Periodic solutions of nonautonomous cellular neural networks with impulses ⋮ Global robust stability of delayed recurrent neural networks ⋮ Stability analysis of recurrent neural networks with piecewise constant argument of generalized type ⋮ Periodic solutions of nonautonomous cellular neural networks with impulses and delays ⋮ Global exponential stability for a class of retarded functional differential equations with applications in neural networks
Cites Work
- Stability in asymmetric Hopfield nets with transmission delays
- Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
- Qualitative analysis and synthesis of a class of neural networks
- Qualitative analysis of neural networks
- Necessary and sufficient condition for absolute stability of neural networks
- Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
- On a class of globally stable neural circuits
- Neurons with graded response have collective computational properties like those of two-state neurons.
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