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The best linear approximation for nonlinear systems

delete2005-08-01
delete9
PRE
AI
A
Ali Vahidian Kamyad
H
Hamed Hashemi Mehne
DOI：10.1016/j.amc.2004.08.002delete
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Abstract

Abstract

En 中文
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. (c) 2004 Elsevier Inc. All rights reserved.
Keywords:
nonlinear systems
approximation theory
measure theory
linear programming
discretization

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

No organization information available