The best linear approximation for nonlinear systems

In this paper we propose a method for finding the best linearization of nonlinear ODE problems by L 2-norm. For this means we try to obtain the best approximation of a nonlinear system as a linear time-varying system. Our method for obtaining the above approximation is on the basis of analytic and n...

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Bibliographic Details
Published in:Applied mathematics and computation 2005-08, Vol.167 (2), p.1041-1061
Main Authors: Kamyad, Ali Vahidian, Mehne, Hamed Hashemi, Borzabadi, Akbar Hashemi
Format: Article
Language:English
Subjects:
Approximation theory
Approximations and expansions
Discretization
Exact sciences and technology
Linear programming
Mathematical analysis
Mathematics
Measure theory
Nonlinear systems
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Ordinary differential equations
Sciences and techniques of general use
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Summary:In this paper we propose a method for finding the best linearization of nonlinear ODE problems by L 2-norm. For this means we try to obtain the best approximation of a nonlinear system as a linear time-varying system. Our method for obtaining the above approximation is on the basis of analytic and numerical approaches. Finally we examine our methods to some numerical examples.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2004.08.002