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

Author: Rapoport L.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0005-1179

Source: Automation and Remote Control, Vol.66, Iss.1, 2005-01, pp. : 31-42

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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.