Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization

doi:10.1109/TCSI.2003.809817

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Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization

Yaolin Jiang, R.M.M. Chen, O. Wing

Apr 29, 2003

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IEEE Transactions on Circuits and Systems I-regular Papers

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Key Takeaway

Key Takeaway: This algorithm effectively treats periodic problems of nonlinear dynamic systems by applying quasi-linearization and waveform relaxation, proving convergence and applying it to forced van der Pol equations.

Abstract

In this brief, we provide an algorithm to treat periodic problems of nonlinear dynamic systems. Our approach is to apply quasi-linearization and waveform relaxation to a system of equations so as to produce a series of linear time-varying systems with periodicity constraints. We prove convergence of the algorithm and apply it to solutions of forced van der Pol equations as a further illustration.

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