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In this paper, a general robust gain scheduling synchronization method is proposed for quadratic chaotic systems with parametric uncertainty and unknown channel time delay. Quadratic systems contain nonlinearity of quadratic form of the systems states and can always be transformed into linear parameter-varying (LPV) forms. Based on the LPV forms, our approach provides two different gain scheduling structures to achieve global synchronization under the case of having parametric uncertainty and time delay. The convergence of synchronization errors is demonstrated using Lyapunov stability theory. [ABSTRACT FROM AUTHOR]

A global gain scheduling synchronization method is developed in this paper for the identical synchronization of quadratic chaotic systems. The quadratic chaotic system contains nonlinearity of quadratic terms of system's states. With chaotic states being bounded in certain regions, the quadratic chaotic system can be rewritten into the linear parameter varying (LPV) form through algebraic transformations. Then, using the gain scheduling technique, two different synchronization structures are proposed to achieve the global synchronization for the quadratic chaotic system. The convergence of the synchronization errors is guaranteed under the second Lyapunov stability theory. Generalized Lorenz systems, such as the Chen system and the Lorenz system, are illustrated as examples to demonstrate the efficiency of the proposed methods. [ABSTRACT FROM AUTHOR]