Passivity analysis for switched generalized neural networks with time-varying delay and uncertain output
Mingxing Hu, Jie Ming Cao, Yongqing Yang, Anqi Hu · IMA Journal of Mathematical Control and Information · 2012
This paper is concerned with the issue of passivity analysis for switched generalized neural networks (SGNNs). Parametric uncertainty is considered and assumed to be time-variant and norm bounded. We first give the passivity condition for SGNNs without uncertainties, and then extend the result to the cases with time-varying parametric uncertainties both in network parameters and output matrices. By using the Lyapunov–Krasovskii functional and some analysis techniques, the passivity criteria are presented in terms of linear matrix inequalities. Two numerical examples are given to show the effectiveness of the theoretical results.