Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays

This paper investigates robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays. The parameter uncertainties are assumed to be bounded in given compact sets. The delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. Based on the new Lyapunov–Krasovskii functional (LKF), some inequality techniques and stochastic stability theory, new delay-dependent stability criteria have been obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the less conservative and effectiveness of our theoretical results.

► Robust stability analysis for Markovian jumping interval neural networks is considered.
► Both linear fractional and interval uncertainties are considered.
► A new LKF is constructed with triple integral terms.
► MATLAB LMI control toolbox is used to validate theoretical results.
► Numerical examples are given to illustrate the effectiveness of the proposed method.