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.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

impulsive differential inequality; globally exponential stability; high order Hopfield type neural network

PL

nierówność różniczkowa; stabilność wykładnicza; sieć neuronowa Hopfielda

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 1
• Strony: 201--211
• Opis fizyczny: Bibliogr. 51 poz., wykr.

Twórcy

autor

Liu Y.

• College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China

autor

Yang R.

• College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China

autor

Lu J.

• Department of Mathematics, Southeast University, Nanjing 210096, China

autor

Wu B.

• Academic Affairs Division, Zhejiang Normal University, Jinhua 321004, China

autor

Cai X.

• College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China

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