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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010)
  6. Global Stability and Plus-Global Stability. An Application to Forward Neural Networks
 
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Global Stability and Plus-Global Stability. An Application to Forward Neural Networks

Di Lena, Giovanni
•
Martelli, Mario
•
Messano, Basilio
2010
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ISSN
0049-4704
http://hdl.handle.net/10077/3880
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010)
Subjects
  • Plus Global Stability...

  • Orbits

  • Periodic Points

  • V-condition

Publisher
EUT Edizioni Università di Trieste
Source
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.
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