L. B. Rapoport, “Extension of the <nobr>$S$</nobr>-procedure and analysis of the multidimensional control systems using linear matrix inequalities”, Avtomat. i Telemekh., 2005, Issue 1,Pages <nobr>37

This article is cited in 4 papers

Deterministic Systems

Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities

L. B. Rapoport

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Consideration was given to a generalization of the so-called $S$-procedure in the problem of sign-definiteness of the quadratic form under quadratic constraints. Application of the algebraic criterion obtained to analysis of the multidimensional control system was discussed. The results were formulated in terms of solvability of the linear matrix inequalities.

Presented by the member of Editorial Board: A. V. Nazin

Received: 24.06.2004