Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions

Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions

New necessary and sufficient conditions for the asymptotic stability and localization of the spectra of linear autonomous systems are proposed by using the matrix trace functions. The application of these conditions is reduced to the solution of two scalar inequalities for a symmetric positive-defin...

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Veröffentlicht in:Ukrainian mathematical journal 2015-03, Vol.66 (10), p.1544-1552
1. Verfasser: Mazko, A. G.
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Sprache:eng
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Algebra
Analysis
Applications of Mathematics
Control systems
Geometry
Mathematics
Mathematics and Statistics
Statistics
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description New necessary and sufficient conditions for the asymptotic stability and localization of the spectra of linear autonomous systems are proposed by using the matrix trace functions. The application of these conditions is reduced to the solution of two scalar inequalities for a symmetric positive-definite matrix. As a corollary, for linear control systems, we present a procedure aimed at the construction of the set of stabilizing measurable output feedbacks.
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subjects Algebra
Analysis
Applications of Mathematics
Control systems
Geometry
Mathematics
Mathematics and Statistics
Statistics
title Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions
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