Homogeneous polynomial forms for robustness analysis of uncertain systems
It is well known that a large number of problems relevant to the control ?eld can be formulatedas optimizationproblems. For long time, the classical approachhas been to look for a closed form solution to the speci?c optimizationproblems at hand. The last decade has seen a noticeable shift in the mea...
保存先:
| 主要な著者: | , , , , |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
London :
Springer London
2009.
Cham : Springer Nature |
| シリーズ: | Lecture Notes in Control and Information Sciences
390 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homogeneous polynomial forms for robustness analysis of uncertain systems, Graziano Chesi, Andrea Garulli, Alberto Tesi... [et al.], Berlin, Springer, 2009, 1 vol. (XVII, 197 p.), Lecture notes in control and information sciences, 978-1-84882-780-6 • Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems, Texte imprimé, 9781848827820 |
| 要約: | It is well known that a large number of problems relevant to the control ?eld can be formulatedas optimizationproblems. For long time, the classical approachhas been to look for a closed form solution to the speci?c optimizationproblems at hand. The last decade has seen a noticeable shift in the meaning of closed form solution. The formidable increase of computationalpower has dramatically changed the fe- ing of theoreticians as well as of practitioners about what is meant by tractable and untractableproblems. A main issue regardsconvexity. From a theoretical viewpoint, there has been a large amount of work in the directions of convexifying nonc- vex problems and studying structural features of convex problems. On the other hand, extremely powerful algorithmsfor the solution of convexproblemshave been devised in the last two decades. Clearly, the fact that a wide variety of engine- ing problems can be formulated as convex problems has strongly motivated efforts in this direction. The control ?eld is not an exception in this sense: many pr- lems in robust control, identi?cation and nonlinear control have been recognized as convex problems. Moreover, convex relaxations of nonconvex problems have been intensively investigated, as they provide an effective tool for bounding the optimal solution of the original problem. As far as robust control is concerned, it is known since long time that several classes of problemscan be reducedto testing positivity of suitable polynomials |
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| 記述事項: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781848827813 |
| ISSN: | 1610-7411 |
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