Abstract
A convex optimization approach to model reduction of a class of non-linear systems is presented. Under the assumption that the non-linear system is input-to-state-stable with respect to its input, and all the system non-linearities are globally Lipschitz, it is shown that it is possible to represent the reduced-order system as a stable linear system. The design of the matrices of the reduced model is obtained from the solution of a set of linear matrix inequalities.