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1

Stability and dissipativity analysis for neutral type stochastic Markovian jump static neural networks with time delays

Cao Yang, Samidurai R., Sriraman R.

Journal of Artificial Intelligence and Soft Computing Research

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2019

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Vol. 9, No. 3

189--204

EN

This paper studies the global asymptotic stability and dissipativity problem for a class of neutral type stochastic Markovian Jump Static Neural Networks (NTSMJSNNs) with time-varying delays. By constructing an appropriate Lyapunov-Krasovskii Functional (LKF) with some augmented delay-dependent terms and by using integral inequalities to bound the derivative of the integral terms, some new sufficient conditions have been obtained, which ensure that the global asymptotic stability in the mean square. The results obtained in this paper are expressed in terms of Strict Linear Matrix Inequalities (LMIs), whose feasible solutions can be verified by effective MATLAB LMI control toolbox. Finally, examples and simulations are given to show the validity and advantages of the proposed results.

2

On the exponential stability of a neutral differential equation of first order

Gözen M., Tunç C.

Journal of Mathematics and Applications

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2018

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Vol. 41

95--107

EN

In this work, we establish some assumptions that guaranteeing the global exponential stability (GES) of the zero solution of a neutral differential equation (NDE). We aim to extend and improves some results found in the literature.

3

l2-l{infinity] Filtering for Discrete Time-Delay Markovian Jump Neural Networks

Zhou J., Wang Z., Yuan D., Shen H.

Przegląd Elektrotechniczny

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2012

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R. 88, nr 1b

96-100

EN

This paper considers the l2-l�[infinity]] filter problem for discrete time-delay Markovian jump neural networks. Attention is focused on the design of a reduced-order filter to guarantee stochastic stability and a prescribed l2-l�[infinity] performance for the filtering error system. In terms of linear matrix inequalities (LMIs), a delay-dependent sufficient condition for the solvability of the addressed problem is presented. When these LMIs are feasible, an explicit expression for the desired reduced-order filter is given. A numerical example is provided to show the effectiveness of the proposed results.

PL

W artykule analizuje sę. problem filtru l2-l�[nieskończoność] dla dyskretnego opóźnienia czasowego sieci neuronowej ze skokiem Markova. Szczegolną uwagę zwrocono na projekt filtru zredukowanego rzędu dla zagwarantowania stochastycznej stabilności. Zaprezentowano wystarczające warunki dla rozwiązywalności układu przy liniowej macierzy nierowności LMIs.

4

Stability and stabilizability of a class of uncertain dynamical systems with delays

Saadni M. S., Chaabane M., Mehdi D.

International Journal of Applied Mathematics and Computer Science

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2005

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Vol. 15, no 3

321-329

EN

This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. LinearMatrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.