Partial Anti-Synchronization Problem of the 4D Financial Hyper-Chaotic System with Periodically External Disturbance
Lin Cao, Rongwei Guo
Abstract
This paper is concerned with the partial anti-synchronization of the 4D financial hyper-chaotic system with periodically external disturbance. Firstly, the existence of the partial anti-synchronization problem for the nominal 4D financial system is proven. Then, a suitable filter is presented, by which the periodically external disturbance is asymptotically estimated. Moreover, two disturbance estimator (DE)-based controllers are designed to realize the partial anti-synchronization problem of such a system. Finally, numerical simulation verifies the effectiveness and correctness of the proposed results.
Topics & Concepts
Disturbance (geology)CorrectnessControl theory (sociology)Synchronization (alternating current)Computer scienceChaoticChaotic systemsFilter (signal processing)EstimatorMathematicsControl (management)AlgorithmArtificial intelligenceTelecommunicationsChannel (broadcasting)BiologyStatisticsPaleontologyComputer visionChaos control and synchronizationNonlinear Dynamics and Pattern FormationNeural Networks Stability and Synchronization