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Stability analysis for delayed Cohen–Grossberg Clifford‐valued neutral‐type neural networks

R. Sriraman, Grienggrai Rajchakit, Oh‐Min Kwon, Sang‐Moon Lee

2022Mathematical Methods in the Applied Sciences19 citationsDOI

Abstract

The aim of this study is to explore the global stability of Cohen–Grossberg Clifford‐valued neutral‐type neural network models with time delays. In order to achieve the aim of this paper, and to solve the non‐commutativity problem caused by Clifford numbers multiplication, the original Clifford‐valued system is first decomposed into ‐dimensional real‐valued systems. Some sufficient criteria for the global stability of the addressed network models are established by constructing an appropriate Lyapunov functional. The established stability conditions have not been affected by the neutral delay and time delay values. The proposed method and results of this paper are new. The feasibility of the stability criteria obtained are verified using two numerical examples.

Topics & Concepts

Artificial neural networkMathematicsStability (learning theory)Type (biology)Commutative propertyMultiplication (music)Clifford algebraApplied mathematicsStability conditionsExponential stabilityControl theory (sociology)Algebra over a fieldPure mathematicsComputer scienceNonlinear systemArtificial intelligenceMachine learningCombinatoricsControl (management)StatisticsQuantum mechanicsPhysicsEcologyDiscrete time and continuous timeBiologyNeural Networks Stability and SynchronizationMatrix Theory and AlgorithmsNeural Networks and Applications