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Exponential Lag Synchronization of Cohen–Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales

Vipin Kumar, Jan Heiland, Peter Benner

2023Neural Processing Letters17 citationsDOIOpen Access PDF

Abstract

Abstract In this article, we investigate exponential lag synchronization results for the Cohen–Grossberg neural networks with discrete and distributed delays on an arbitrary time domain by applying feedback control. We formulate the problem by using the time scales theory so that the results can be applied to any uniform or non-uniform time domains. Also, we provide a comparison of results that shows that obtained results are unified and generalize the existing results. Mainly, we use the unified matrix-measure theory and Halanay inequality to establish these results. In the last section, we provide two simulated examples for different time domains to show the effectiveness and generality of the obtained analytical results.

Topics & Concepts

GeneralitySynchronization (alternating current)Computational intelligenceArtificial neural networkComputer scienceLagDiscrete time and continuous timeMeasure (data warehouse)Domain (mathematical analysis)Exponential functionCoincidenceMathematicsApplied mathematicsControl theory (sociology)Control (management)Artificial intelligenceMathematical analysisStatisticsData miningChannel (broadcasting)MedicinePathologyPsychotherapistAlternative medicinePsychologyComputer networkNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern Formationstochastic dynamics and bifurcation