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Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays

100%

Raja R., Sakthivel R., Anthoni S., Kim H.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 1

127-135

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 the Matlab 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.

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Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces

86%

Abada N., Benchohra M., Hammouche H., Ouahab A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2007

tom 27

nr 2

329-347

In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 International Journal of Applied Mathematics and Computer Science

1 Abada N.

1 Anthoni S.

1 Benchohra M.

1 Hammouche H.

1 Kim H.

1 Ouahab A.

1 Raja R.

1 Sakthivel R.

1 2011

1 2007

Wyniki wyszukiwania

Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays

Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces