A new bounded real lemma representation for the continuous-time case

A differential linear matrix inequality (DLMI) approach is introduced for t he solution of various linear continuous-time control problems. The propose d method permits the application of linear matrix inequalities (LMIs) to th e solution of control design problems under uncertainty. These problems are solved for finite horizon linear systems while considerably reducing the o verdesign inherent in previous methods. The new approach also allows for th e solution of the output-feedback control problem for systems belonging to a finite set of uncertain plants with hardly any overdesign. Four examples are given to demonstrate the applicability of the new method.