Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2006.09.011
Title: Comparisons among robust stability criteria for linear systems with affine parameter uncertainties
Authors: Yang, G.-H.
Lum, K.-Y. 
Keywords: Linear matrix inequalities
Linear systems
Parameter uncertainty
Parameter-dependent Lyapunov function
Robust stability
Issue Date: Mar-2007
Citation: Yang, G.-H., Lum, K.-Y. (2007-03). Comparisons among robust stability criteria for linear systems with affine parameter uncertainties. Automatica 43 (3) : 491-498. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2006.09.011
Abstract: This paper is concerned with the problem of comparisons among robust stability criteria for a class of uncertain linear systems, where the system state matrices considered are affinely dependent on the uncertain parameters. At first, a robust stability criterion for the class of systems to be affinely quadratically stable (AQS) is derived based on the vertex separator approach, where affine parameter-dependent Lyapunov functions are exploited to prove stability. Then comparison results between the robust stability criterion and the existing tests for AQS are given in terms of degree of conservatism. A numerical example is given to illustrate the results. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/111352
ISSN: 00051098
DOI: 10.1016/j.automatica.2006.09.011
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