Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization

Yao Lin Jiang; Richard M.M. Chen; Omar Wing

doi:10.1109/TCSI.2003.809817

Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization

Yao Lin Jiang
, Richard M.M. Chen
, Omar Wing

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	589-593
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	50
Issue number	4
DOIs	https://doi.org/10.1109/TCSI.2003.809817
State	Published - Apr 2003

Keywords

Newton iterations
Nonlinear dynamic systems
Periodic problems
Quasi-linearization
RF circuit simulation
Waveform relaxation

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10.1109/TCSI.2003.809817

Cite this

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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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AU - Wing, Omar

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N2 - 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.

AB - 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.

KW - Newton iterations

KW - Nonlinear dynamic systems

KW - Periodic problems

KW - Quasi-linearization

KW - RF circuit simulation

KW - Waveform relaxation

UR - https://www.scopus.com/pages/publications/0038273861

U2 - 10.1109/TCSI.2003.809817

DO - 10.1109/TCSI.2003.809817

M3 - 文章

AN - SCOPUS:0038273861

SN - 1057-7122

VL - 50

SP - 589

EP - 593

JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

IS - 4

ER -

Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization

Abstract

Keywords

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