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Stability Analysis of Continuous-Time Switched Neural Networks With Time-Varying Delay Based on Admissible Edge-Dependent Average Dwell Time

Hui-Ting Wang, Yong He, Chuan‐Ke Zhang

2020IEEE Transactions on Neural Networks and Learning Systems19 citationsDOI

Abstract

This article investigates the stability of the switched neural networks (SNNs) with a time-varying delay. To effectively guarantee the stability of the considered system with unstable subsystems and reduce conservatism of the stability criteria, admissible edge-dependent average dwell time (AED-ADT) is first utilized to restrict switching signals for the continuous-time SNNs, and multiple Lyapunov-Kravosikii functionals (LKFs) combining relaxed integral inequalities are employed to develop two novel less-conservative stability conditions. Finally, the numeral examples clearly indicate that the proposed criteria can reduce conservatism and ensure the stability of continuous-time SNNs.

Topics & Concepts

Dwell timeNumeral systemStability (learning theory)Enhanced Data Rates for GSM EvolutionControl theory (sociology)Computer scienceArtificial neural networkConservatismMathematicsArtificial intelligenceControl (management)Machine learningMedicineLawPoliticsClinical psychologyPolitical scienceNeural Networks Stability and SynchronizationAdvanced Memory and Neural ComputingStability and Control of Uncertain Systems