Quadratic stabilizability of a new class of linear systems with structuralindependent time-varying uncertainty

This paper investigates the problem of designing a linear state feedback co ntrol to stabilize a new class of single-input uncertain linear dynamical s ystems. Uncertain parameters in the system matrices are time-varying and bo unded in given compact sets. We first provide a concept called "new standar d system", where some of the entries are required to be negative sign-invar iant and sign-invariant, and each entry varies independently in an arbitrar ily large range. Then, for a class of new standard systems we derive a nece ssary and sufficient condition under which a system can be quadratically st abilized by a linear control for all admissible variations of uncertainties . The result extends the main result in Wei (1990. IEEE Transactions on Aut omatic Control, 35(3), 268-277). (C) 2000 Elsevier Science Ltd. All rights reserved.