| dc.creator | Oliveira, RCLF | |
| dc.creator | de Oliveira, MC | |
| dc.creator | Peres, PLD | |
| dc.date | 2008 | |
| dc.date | AUG | |
| dc.date | 2014-07-30T14:02:29Z | |
| dc.date | 2015-11-26T17:09:39Z | |
| dc.date | 2014-07-30T14:02:29Z | |
| dc.date | 2015-11-26T17:09:39Z | |
| dc.date.accessioned | 2018-03-28T23:58:17Z | |
| dc.date.available | 2018-03-28T23:58:17Z | |
| dc.identifier | Systems & Control Letters. Elsevier Science Bv, v. 57, n. 8, n. 680, n. 689, 2008. | |
| dc.identifier | 0167-6911 | |
| dc.identifier | WOS:000257278400011 | |
| dc.identifier | 10.1016/j.sysconle.2008.01.006 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/57152 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/57152 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1280673 | |
| dc.description | This paper investigates the problems of checking robust stability and evaluating robust H-2 performance of uncertain continuous-time linear systems with time-invariant parameters lying in polytopic domains. The novelty is the ability to check robust stability by constructing a particular parameter-dependent Lyapunov function which is a polynomial function of the uncertain system matrices, as opposed to a general polynomial function of the uncertain parameter. The degree of the polynomial is tied to a certain integer kappa. The existence of such Lyapunov function can be proved by solving parameter-dependent Linear Matrix Inequalities (LMIs), which are guaranteed to be solvable for a sufficiently large yet finite value of kappa whenever the system is robustly stable. Extensions to guaranteed H-2 cost computation are also provided. Numerical aspects concerning the programming and the evaluations of the proposed tests are discussed and illustrated by examples. (C) 2008 Elsevier B.V. All rights reserved. | |
| dc.description | 57 | |
| dc.description | 8 | |
| dc.description | 680 | |
| dc.description | 689 | |
| dc.language | en | |
| dc.publisher | Elsevier Science Bv | |
| dc.publisher | Amsterdam | |
| dc.publisher | Holanda | |
| dc.relation | Systems & Control Letters | |
| dc.relation | Syst. Control Lett. | |
| dc.rights | fechado | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | robust stability | |
| dc.subject | robust H-2 performance | |
| dc.subject | polynomial parameter-dependent lyapunov function | |
| dc.subject | linear matrix inequalities | |
| dc.subject | Polytopic Systems | |
| dc.subject | Stability | |
| dc.title | Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions | |
| dc.type | Artículos de revistas | |
