| Titre : | Linear matrix inequalities in system and control theory |
| Auteurs : | Stephen Boyd, Auteur ; Laurent El Ghaoul, Auteur ; Eric Feron, Auteur ; Venkataramanan Balakrishnan, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Philadelphia : Society for Industrial and Applied Mathematics, 1994 |
| Collection : | Studies in Applied and Numerical Mathematics, num. 15 |
| ISBN/ISSN/EAN : | 978-0-89871-485-2 |
| Format : | IX-193 p. / ill. / 26 cm |
| Langues : | Anglais |
| Index. décimale : | 51 (Mathématiques) |
| Tags : | Control theory Mathematical optimization Matrix inequalities Thé ; orie de la commande. Optimisation mathé ; matique Iné ; galité ; s matricielles |
| 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 |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Etat_Exemplaire |
|---|---|---|---|---|---|
| 51 LIN | Papier | Bibliothèque Centrale | Mathématiques | Disponible | Consultation sur place |
