Identification of Dynamical Systems in the Wavelet Domain
Roger Ghanem, Francesco Romeo · IRIS Research product catalog (Sapienza University of Rome) · 1998
This paper describes a method for identifying the parameters of the differential equations governing the response of dynamical systems. The discretization of such differential equations is carried out through the Wauelet-Galerkin approach, giving rise to a set of algebraic equations in the wavelet space. As opposite to the standard Fourier methods, the resulting equations are coupled and the integrals of the products of wavelet bases and their derivatives play a key role. The identification is achieved solving for the unknown system parameters using a minimization technique.