POLE LOCATION CLUSTERING FOR UNCERTAIN DESCRIPTOR SYSTEMS WITH PERTURBED DERIVATIVE MATRICES

This paper mainly investigates stability analysis and pole location in a prescribed region for the uncertain descriptor system which is subjected to parametric uncertainties in both the derivative matrix and the system matrix. Equivalent stability and pole location criteria for the nominal descriptor system are firstly derived. By involving the uncertainties, we further address the robust stability and the robust pole location for the regarded uncertain systems. Since some of these conditions are expressed in terms of nonstrict or complex linear matrix inequalities (LMIs), we thus utilize a convex programming algorithm, a projection method, for numerical verification. Based on some defined convex sets, the corresponding projection operators can be derived. Then, an analyzing algorithm is proposed for evaluating feasible solutions. Illustrative examples demonstrate that the proposed approach is valid and effective.