Global Mittag-Leffler synchronization of coupled delayed fractional reaction-diffusion Cohen–Grossberg neural networks via sliding mode control
Yonggui Kao, Yue Cao, Xiangyong Chen
Abstract
This paper studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed non-strongly connected topology. A novel fractional integral sliding mode surface and the corresponding control law are designed to realize global Mittag-Leffler synchronization. The sufficient conditions for synchronization and reachability of the sliding mode surface are derived via the hierarchical method and the Lyapunov method. Finally, simulations are provided to verify our theoretical findings.
Topics & Concepts
ReachabilityControl theory (sociology)Synchronization (alternating current)Artificial neural networkSliding mode controlMode (computer interface)MathematicsTopology (electrical circuits)Reaction–diffusion systemSurface (topology)Lyapunov functionFractional calculusComputer scienceControl (management)Applied mathematicsMathematical analysisAlgorithmPhysicsNonlinear systemArtificial intelligenceGeometryQuantum mechanicsCombinatoricsOperating systemNeural Networks Stability and SynchronizationNeural Networks and ApplicationsNonlinear Dynamics and Pattern Formation