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.
['Ali Vahidian Kamyad', 'Hamed Hashemi Mehne', 'Akbar Hashemi Borzabadi']
The best linear approximation for nonlinear systems