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Exponential Stabilization of Fuzzy Memristive Neural Networks With Multiple Time Delays Via Intermittent Control

Yin Sheng, Tingwen Huang, Zhigang Zeng

2021IEEE Transactions on Systems Man and Cybernetics Systems66 citationsDOI

Abstract

This article investigates global exponential stabilization (GES) of Takagi–Sugeno (T–S) fuzzy memristive neural networks with multiple time-varying delays (DFMNNs) via intermittent control strategy. By resorting to differential inclusion theory, comparison means, and inequality techniques, some results are developed to ensure GES of the underlying DFMNNs via a fuzzy intermittent state feedback control law within the sense of Filippov. The outcome is generalized to GES of FMNNs with infinite distributed time delays. Additionally, the global exponential stability of FMNNs with discrete time-varying delays is explored in terms of 1-norm. The derived conditions herein contain certain existing ones as special cases. Finally, three examples are presented to illuminate the validness of the outcomes.

Topics & Concepts

Differential inclusionControl theory (sociology)Intermittent controlExponential stabilityDiscrete time and continuous timeFuzzy logicMathematicsArtificial neural networkControl (management)Exponential functionFuzzy control systemComputer scienceNonlinear systemMathematical optimizationControl engineeringArtificial intelligenceEngineeringMathematical analysisStatisticsQuantum mechanicsPhysicsNeural Networks Stability and SynchronizationAdvanced Memory and Neural Computingstochastic dynamics and bifurcation