We consider the problem of strong stabilization of descriptor systems via output feedback. The proposed results are based on the concept of (C,A,E,B)-invariance and its algebraic characterization by coupled Sylvester equations and coupled Lyapunov-like equations. Based either on eigenstructure assignment techniques or on the solution of linear matrix inequalities and equalities, we propose algorithms for computation of the output feedback matrix for descriptor systems that verify some conditions. The proposed results and algorithms generalize previous works developed for classical linear systems and for particular classes of descriptor systems.
Descriptor systems; Output feedback; Sylvester equations; Lyapunov equations; LMI/LMEs
