Artículos de revistas
Investigating duality on stability conditions
Registro en:
Systems & Control Letters. Elsevier Science Bv, v. 52, n. 1, n. 1, n. 6, 2004.
0167-6911
WOS:000220983600001
10.1016/j.sysconle.2003.09.011
Autor
de Oliveira, MC
Institución
Resumen
This paper is devoted to investigate the role played by duality in stability analysis of linear time-invariant systems. We seek for a dual statement of a recently developed method for generating stability conditions, which combines Lyapunov stability theory with Finsler's Lemma. This method, developed in the time domain, is able to generate a set of (primal) equivalent stability tests involving extra multipliers. The resulting tests have very attractive properties. Stability is characterized via linear matrix inequalities and we use optimization theory to obtain the duals. The dual problems are given a frequency domain interpretation. (C) 2003 Elsevier B.V. All rights reserved. 52 1 1 6