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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3880

Title: Global Stability and Plus-Global Stability. An Application to Forward Neural Networks
Authors: Di Lena, Giovanni
Martelli, Mario
Messano, Basilio
Keywords: Plus Global Stability
Orbits
Periodic Points
V-condition
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Giovanni Di Lena, Mario Martelli, Basilio Messano, "Global Stability and Plus-Global Stability. An Application to Forward Neural Networks", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 (2010), pp. 1–18.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010)
Abstract: A necessary and sufficient condition for a discrete dynamical system to be globally stable and plus-globally stable are first established in Section 2. The V-condition is introduced and Theorems 3.5 and 3.7 are presented in Section 3. The two theorems link the V-condition to the most relevant properties of globally stable and plus-globally stable discrete dynamical systems. In Section 4 we provide a simple application to a convergence problem for forward neural networks.
URI: http://hdl.handle.net/10077/3880
ISSN: 0049-4704
MS Classification 2000: 37C25
37C75
37C27
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010)

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