Engineering Commons^™

This thesis revisits the singular value based model order reduction technique that was developed in [33] to prove that the solution of the full order model converges to the solution of the reduced order model and to characterize the error between the full order model and the reduced order model.

To prove convergence, a general, stable, linear, time-invariant system is transformed using the technique of [33]. Then, a reduced order model is obtained using the method of matched asymptotics. This reduced order model is the same as that which results

from applying the method of [33] to the original system. …