Some definitions and theorems concerning positive continuous-time and discrete-time linear systems are presented. The notion of a positive estimator maping a positive cone into a positive cone is introduced. A multi-layer perceptron and a radial neural network approximating the nonlinear estimator are proposed. A neural network modeling the dynamics of a positive nonlinear dynamical system is also proposed. The new neural networks are verified and illustrated by an example.
CITATION STYLE
Kaczorek, T. (2004). Neural networks of positive systems. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 3070, pp. 56–63). Springer Verlag. https://doi.org/10.1007/978-3-540-24844-6_8
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