Normalizability and feedback stabilization for second-order linear descriptor differential systems

ln this paper we investigate the normalizability of second-order linear descriptor differential system and simultaneously the relocation of its poles. The whole procedure is divided into three main algorithmic steps. Firstly, we normalize the descriptor system. Afterwards, we solve a linear and a multi-linear sub-problem. The proposed method computes a reduced set of quadratic Plucker relations which describes completely the specific Grassmann variety. Finally, using these relations the feedback matrices are fully determined which provide the solution to the pole assignment problem. An illustrative example of the algorithmic procedure is also discussed.