An Algorithm for Generalized Sylvester-observer Equation in State Estimation of Descriptor Systems

An algorithm for solving the generalized Sylvesterobserver equation arising in state estimation of descriptor systems is proposed. The algorithm is structure preserving and rich in BLAS-3 computations and thus suitable for high performance computing. The algorithm is a generalization of the one recently proposed by Datta and Sarkissian in state-estimation of standard rst-order state space systems. The algorithm can be used in state estimation of matrix second-order control systems, and an algorithm for this purpose is given