Necessary and sufficient conditions for robust stability using modal intervals

In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analys...

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Detalles Bibliográficos
Autores: Vehí, Josep, Sainz, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:1999
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/2735
Acceso en línea:http://hdl.handle.net/10256/2735
Access Level:acceso abierto
Palabra clave:Anàlisi d'intervals (Matemàtica)
Control automàtic
Sistemes dinàmics diferenciables
Automatic control
Differentiable dynamical systems
Interval analysis (Mathematics)
Descripción
Sumario:In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analysis not only simplifies the computation of interval functions but allows semantic interpretation of their results. Necessary, sufficient and, in some cases, necessary and sufficient conditions for robust performance are presented