- Tytuł:
- Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality
- Autorzy:
-
Liu, Y.
Yang, R.
Lu, J.
Wu, B.
Cai, X. - Powiązania:
- https://bibliotekanauki.pl/articles/330348.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
impulsive differential inequality
globally exponential stability
high order Hopfield type neural network
nierówność różniczkowa
stabilność wykładnicza
sieć neuronowa Hopfielda - Opis:
- This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov–Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 201-211
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł