Global asymptotic stability of a class of feedback neural networks with an application to optimization problems
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Publication:1126905
DOI10.1007/BF01202854zbMath0915.93055OpenAlexW2023668543MaRDI QIDQ1126905
Zhaoshu Feng, Anthony N. Michel
Publication date: 6 July 1999
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01202854
linear programmingchaosneural networksperturbationsglobal asymptotic stabilitydifferential inequalitieshomotopy theory
Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic stability in control theory (93D20) Robust stability (93D09)
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New stability criteria for neutral-type Cohen–Grossberg neural networks with discrete and distributed delays ⋮ Global asymptotic stability for a linear system in a saturated mode
Cites Work
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- Self-organization and associative memory
- ``Neural computation of decisions in optimization problems
- Qualitative analysis of large scale dynamical systems
- Recent directions in matrix stability
- Improved neural networks for analog-to-digital conversion
- Global convergence and asymptotic stability of asymmetric Hopfield neural networks
- Some generalizations of positive definiteness and monotonicity
- Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
- Matrix Diagonal Stability and Its Implications
- On a class of nonsymmetrical neural networks with application to ADC
- Qualitative analysis and synthesis of a class of neural networks
- Qualitative analysis of neural networks
- On the existence of positive diagonal<tex>P</tex>such that<tex>PA + A^{T}P < 0</tex>
- On the analysis of dynamic feedback neural nets
- Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
- Necessary and sufficient condition for absolute stability of neural networks
- Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability
- On a class of globally stable neural circuits
- New conditions for global stability of neural networks with application to linear and quadratic programming problems
- Neural networks and physical systems with emergent collective computational abilities.
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Existence and Uniqueness of Solutions for the Equations of Nonlinear DC Networks
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