Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/104621
Type: Artigo de periódico
Title: Conditions Of The Small Gain Theorem Assigned For Stability Analysis Of Uncertain Time-delay Systems [condições Lmi Do Teorema Do Ganho Pequeno Escalonado Para Análise De Estabilidade De Sistemas Incertos Com Atraso]
Author: Valmorbida G.
Leite V.J.S.
Peres P.L.D.
Abstract: Recently, it has been shown that some Lyapunov-based stability conditions for precisely known time-delay systems are equivalent to the robust stability of a delay-free comparison system through the small gain theorem with constant scales. The extension of those previous results to cope with uncertain time-delay systems in polytopic domains is the main contribution of this paper. From the definition of a generic system realization, linear matrix inequalities that are equivalent to the scaled small gain conditions but have extra matrix variables are given. Thanks to these extra matrices, delay-independent and delay-dependent stability conditions can be obtained for the analysis of time-delay systems in polytopic domains through parameter-dependent Lyapunov matrices, yielding conditions that are less conservative than others in the literature, as illustrated by means of numerical examples.
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Rights: aberto
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-39749199087&partnerID=40&md5=ad428d4eca69bc533107b962795e0fd4
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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