Neural nets modelled by an o.d.e. on a cube

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 5, 2001, Pages 2929-2937

  Calvert, B D ^a,b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b NONE

Author keywords

Hopfield neural network; Monotone operators; Projected dynamical system; Saturated mode; Saturation constraints

Indexed keywords

CONSTRAINT THEORY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NEURAL NETWORKS; THEOREM PROVING; VECTORS;

HOPFIELD NEURAL NETWORKS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0035419501     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00414-X     Document Type: Article

References (14)

1. Linear systems in a saturated mode, and convergence as gain becomes large of asymptotically stable equilibrium points of neural nets
2. Global asymptotic stability for a linear system in a saturated mode
3. Structural stability of a linear system in a saturated mode in dimension two
4. Dynamical systems and variational inequalities
5. Asymptotic stability of systems with saturation constraints
6. Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube
7. Stability analysis of continuous time planar systems with state saturation nonlinearity
8. On the stability of projected dynamical systems
9. Discrete optimization using analog neural networks with discontinuous dynamics
10. Solution of difficult combinatorial optimization problems using analog neural networks with discontinuous dynamics