Fixed time synchronization of delayed quaternion-valued memristor-based neural networks
Dingyuan Chen, Wei Wei Zhang, Jinde Cao, Chuangxia Huang
Abstract
Abstract This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed time stability theory are used, and new synchronization conditions are formulated to achieve the synchronization of delayed QVMNN within a fixed time based on a Lyapunov function and a suitable controller. The feasibility of the proposed method is shown through numerical simulations.
Topics & Concepts
MemristorDifferential inclusionControl theory (sociology)Synchronization (alternating current)QuaternionOrdinary differential equationMathematicsController (irrigation)Artificial neural networkLyapunov functionStability (learning theory)Function (biology)PassivityComputer scienceDifferential equationNonlinear systemTopology (electrical circuits)Mathematical optimizationControl (management)Mathematical analysisArtificial intelligenceEngineeringGeometryBiologyMachine learningCombinatoricsElectrical engineeringEvolutionary biologyPhysicsAgronomyQuantum mechanicsNeural Networks Stability and SynchronizationAdvanced Memory and Neural ComputingNonlinear Dynamics and Pattern Formation