Adaptive Synchronization for Hyperchaotic Liu System
Shunjie Li, Yawen Wu, Gang Zheng
Abstract
In this paper, the adaptive control design is investigated for the chaos synchronization of two identical hyperchaotic Liu systems. First, an adaptive control law with two inputs is proposed based on Lyapunov stability theory. Secondly, two other control schemes are obtained based on a further analysis of the proposed adaptive control law. Finally, numerical simulations are presented to validate the effectiveness and correctness of these results.
Topics & Concepts
CorrectnessSynchronization (alternating current)Lyapunov stabilityAdaptive controlControl theory (sociology)CHAOS (operating system)Computer scienceStability (learning theory)Lyapunov functionControl (management)AlgorithmArtificial intelligenceNonlinear systemPhysicsTelecommunicationsQuantum mechanicsChannel (broadcasting)Computer securityMachine learningChaos control and synchronizationNeural Networks Stability and SynchronizationChaos-based Image/Signal Encryption