In this paper, we study the global robust synchronization problem of the controlled Duffing system and the van der Pol oscillator. By employing the internal model approach, we first convert the problem into a global robust stabilization problem of a time-varying nonlinear system in the lower triangular form. Then we show that the global robust stabilization problem of the lower triangular system is solvable, thus leading to the solution of the global robust synchronization problem.
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机译:在本文中,我们研究了受控Duffing系统和van der Pol振荡器的全局鲁棒同步问题。通过采用内部模型方法,我们首先将问题转换为下三角形式的时变非线性系统的全局鲁棒镇定问题。然后我们证明了下三角系统的全局鲁棒镇定问题是可以解决的,从而导致了全局鲁棒同步问题的解决。
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