Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics
At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under conve...
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| Hauptverfasser: | , , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
2001
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| Ausgabe: | 1st ed. 2001 |
| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . |
| Beschreibung: | 1 Online-Ressource (XVI, 379 p) |
| ISBN: | 9781447102496 |
| DOI: | 10.1007/978-1-4471-0249-6 |
Internformat
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| author | Jaulin, Luc Kieffer, Michel Didrit, Olivier Walter, Eric |
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| discipline | Informatik Mathematik |
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| doi_str_mv | 10.1007/978-1-4471-0249-6 |
| edition | 1st ed. 2001 |
| format | Electronic eBook |
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| spelling | Jaulin, Luc Verfasser aut Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics by Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter 1st ed. 2001 London Springer London 2001 1 Online-Ressource (XVI, 379 p) txt rdacontent c rdamedia cr rdacarrier At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . Software Engineering/Programming and Operating Systems Computational Intelligence Math Applications in Computer Science Systems Theory, Control Software engineering Computational intelligence Computer science—Mathematics System theory Intervallmathematik (DE-588)4130580-2 gnd rswk-swf Intervallanalyse (DE-588)4162150-5 gnd rswk-swf Intervallmathematik (DE-588)4130580-2 s DE-604 Intervallanalyse (DE-588)4162150-5 s Kieffer, Michel aut Didrit, Olivier aut Walter, Eric aut Erscheint auch als Druck-Ausgabe 9781447110675 Erscheint auch als Druck-Ausgabe 9781852332198 Erscheint auch als Druck-Ausgabe 9781447102502 https://doi.org/10.1007/978-1-4471-0249-6 Verlag URL des Eerstveröffentlichers Volltext |
| spellingShingle | Jaulin, Luc Kieffer, Michel Didrit, Olivier Walter, Eric Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics Software Engineering/Programming and Operating Systems Computational Intelligence Math Applications in Computer Science Systems Theory, Control Software engineering Computational intelligence Computer science—Mathematics System theory Intervallmathematik (DE-588)4130580-2 gnd Intervallanalyse (DE-588)4162150-5 gnd |
| subject_GND | (DE-588)4130580-2 (DE-588)4162150-5 |
| title | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics |
| title_auth | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics |
| title_exact_search | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics |
| title_exact_search_txtP | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics |
| title_full | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics by Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter |
| title_fullStr | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics by Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter |
| title_full_unstemmed | Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics by Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter |
| title_short | Applied Interval Analysis |
| title_sort | applied interval analysis with examples in parameter and state estimation robust control and robotics |
| title_sub | With Examples in Parameter and State Estimation, Robust Control and Robotics |
| topic | Software Engineering/Programming and Operating Systems Computational Intelligence Math Applications in Computer Science Systems Theory, Control Software engineering Computational intelligence Computer science—Mathematics System theory Intervallmathematik (DE-588)4130580-2 gnd Intervallanalyse (DE-588)4162150-5 gnd |
| topic_facet | Software Engineering/Programming and Operating Systems Computational Intelligence Math Applications in Computer Science Systems Theory, Control Software engineering Computational intelligence Computer science—Mathematics System theory Intervallmathematik Intervallanalyse |
| url | https://doi.org/10.1007/978-1-4471-0249-6 |
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