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Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications. (English) Zbl 1258.34126

Summary: This paper concerns robust practical synchronization for general second-order nonautonomous systems with parameter mismatch. Some simple yet general algebraic criteria are derived based on practical stability theory of non-autonomous dynamical systems. A distinctive feature of this work is that the parameter mismatch cannot only exist in system parameters, but also in external excitation ones. Furthermore, the obtained results are applied to a typical horizontal platform system and the representative forced van der Pol oscillator. Subsequently, numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

MSC:

34D06 Synchronization of solutions to ordinary differential equations
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