Projective synchronization of the generalized Lotka-Volterra system with asymptotically unbounded external disturbance

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Abstract
This paper investigates the projective synchronization problem of the generalized Lotka-Volterra (GLV) system in the presence of asymptotically unbounded external disturbances. Firstly, an unified projective synchronization control law is proposed for the nominal GLV system, which verified the existence of the projective synchronization problem. Secondly, two suitable filters are designed to estimate the asymptotically unbounded external disturbances that are incorporated into GLV system, by which a simple yet general disturbance estimator (DE)-based control strategy is derived to achieve the asymptotically stable of the error system. Finally, numerical simulations are performed to demonstrate the correctness and validity of the theoretical results.

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