Approximate finite-dimensional ODE temperature model for microwave heating

DOI10.15388/NA.2016.4.5zbMath1419.80012OpenAlexW2962971366WikidataQ127493742 ScholiaQ127493742MaRDI QIDQ4968079

Yupeng Yuan, Cheng Zeng, Qingyu Xiong, Shan Liang, Jiaqi Zhong

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2016.4.5

zbMATH Keywords

model reductiontemperature profilemicrowave heating

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Model reduction in optics and electromagnetic theory (78M34)

Cites Work

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• Infinite dimensional linear systems theory
• Robust output feedback control of quasi-linear parabolic PDE systems
• Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
• The use of a coupled computational model for studying the microwave heating of wood
• Optimal combination of spatial basis functions for the model reduction of nonlinear distributed parameter systems

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