Projective Synchronization of Inertial Quaternion-Valued Neural Networks via Non-reduced Order Approach
Qun Huang, Yue Yu, Jinde Cao
Abstract
Abstract In this article, the issue on projective synchronization of delayed inertial quaternion-valued neural networks (IQVNNs) is investigated. Different from most existing literature, we adopt the non-reduced order approach to deal with IQVNNs described by second order differential equations. By introducing a novel Lyapunov functional, several sufficient criteria are presented in component form to ensure the projective synchronization between master–slave systems. A numerical experiment demonstrates the feasibility of control strategy as well as the correctness of theoretical results.
Topics & Concepts
QuaternionCorrectnessSynchronization (alternating current)Computational intelligenceInertial frame of referenceArtificial neural networkProjective testControl theory (sociology)Computer scienceMathematicsLyapunov functionTopology (electrical circuits)Control (management)Pure mathematicsArtificial intelligenceAlgorithmNonlinear systemGeometryPhysicsQuantum mechanicsCombinatoricsNeural Networks Stability and SynchronizationNeural Networks and ApplicationsAdvanced Memory and Neural Computing