| Titre : |
Linear matrix inequalities in system and control theory |
| Type de document : |
texte imprimé |
| Auteurs : |
Stephen Boyd, Auteur ; Laurent El Ghaoul, Auteur ; Eric Feron, Auteur ; Venkataramanan Balakrishnan, Auteur |
| Editeur : |
Philadelphia : Society for Industrial and Applied Mathematics |
| Année de publication : |
1994 |
| Collection : |
Studies in Applied and Numerical Mathematics num. 15 |
| Importance : |
IX-193 p. |
| Présentation : |
ill. |
| Format : |
26 cm |
| ISBN/ISSN/EAN : |
978-0-89871-485-2 |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Control theory
Mathematical optimization
Matrix inequalities
Thé orie de la commande.
Optimisation mathé matique
Iné galité s matricielles |
| Index. décimale : |
51 Mathématiques |
| Résumé : |
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems. |
| Note de contenu : |
Summary :
Chapter 1: Introduction
Chapter 2: Some Standard Problems Involving LMIs
Chapter 3: Some Matrix Problems;
Chapter 4: Linear Differential Inclusions
Chapter 5: Analysis of LDIs: State Properties
Chapter 6: Analysis of LDIs: Input/Output Properties
Chapter 7: State-Feedback Synthesis for LDIs
Chapter 8: Lur'e and Multiplier Methods
Chapter 9: Systems with Multiplicative Noise
Chapter 10: Miscellaneous Problems |
Linear matrix inequalities in system and control theory [texte imprimé] / Stephen Boyd, Auteur ; Laurent El Ghaoul, Auteur ; Eric Feron, Auteur ; Venkataramanan Balakrishnan, Auteur . - Philadelphia : Society for Industrial and Applied Mathematics, 1994 . - IX-193 p. : ill. ; 26 cm. - ( Studies in Applied and Numerical Mathematics; 15) . ISBN : 978-0-89871-485-2 Langues : Anglais ( eng)
| Mots-clés : |
Control theory
Mathematical optimization
Matrix inequalities
Thé orie de la commande.
Optimisation mathé matique
Iné galité s matricielles |
| Index. décimale : |
51 Mathématiques |
| Résumé : |
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems. |
| Note de contenu : |
Summary :
Chapter 1: Introduction
Chapter 2: Some Standard Problems Involving LMIs
Chapter 3: Some Matrix Problems;
Chapter 4: Linear Differential Inclusions
Chapter 5: Analysis of LDIs: State Properties
Chapter 6: Analysis of LDIs: Input/Output Properties
Chapter 7: State-Feedback Synthesis for LDIs
Chapter 8: Lur'e and Multiplier Methods
Chapter 9: Systems with Multiplicative Noise
Chapter 10: Miscellaneous Problems |
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