- Tytuł:
- Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays
- Autorzy:
-
Raja, R.
Sakthivel, R.
Anthoni, S. M.
Kim, H. - Powiązania:
- https://bibliotekanauki.pl/articles/907824.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
sieć neuronowa
stateczność stochastyczna
funkcja Lapunowa
Hopfield neural networks
Markovian jumping
stochastic stability
Lyapunov function
impulses - Opis:
- The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical packages such as theMatlab LMI Toolbox. A numerical example is provided to show that the proposed results significantly improve the allowable upper bounds of delays over some results existing in the literature.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 127-135
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł