Recent stability issues for linear dynamical systems: Cetraro, Italy 2021
This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical...
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2024]
|
| Schriftenreihe: | CIME Foundation Subseries
volume 2357 |
| Schlagworte: | |
| Zusammenfassung: | This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ‘stability’ is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization. The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems. Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory. |
| Beschreibung: | "This volume is the outgrowth of lectures presented during the CIME Summer School on Applied Mathematics, "Recent stability issues for linear dynamical systems. Matrix nearness problems and eigenvalue optimization", held in Cetraro (Italy) in September 2021 ..." Includes bibliographical references |
| Beschreibung: | XI, 174 Seiten Illustrationen, Diagramme |
| ISBN: | 9783031713255 |
Internformat
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| 245 | 1 | 0 | |a Recent stability issues for linear dynamical systems |b Cetraro, Italy 2021 |c Nicolas Gillis ; Nicola Guglielmi ; Christian Lubich ; Volker Mehrmann ; Punit Sharma ; Bart Vandereycken ; Nicola Guglielmi, Christian Lubich, (editors) |
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| 490 | 1 | |a Lecture notes in mathematics |a CIME Foundation Subseries |v volume 2357 | |
| 500 | |a "This volume is the outgrowth of lectures presented during the CIME Summer School on Applied Mathematics, "Recent stability issues for linear dynamical systems. Matrix nearness problems and eigenvalue optimization", held in Cetraro (Italy) in September 2021 ..." | ||
| 500 | |a Includes bibliographical references | ||
| 520 | 3 | |a This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ‘stability’ is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization. The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems. Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory. | |
| 653 | 0 | |a Differential equations | |
| 653 | 0 | |a Dynamical systems | |
| 700 | 1 | |a Guglielmi, Nicola |4 aut |4 edt | |
| 700 | 1 | |a Lubich, Christian |d 1959- |0 (DE-588)11167090X |4 aut |4 edt | |
| 700 | 1 | |a Mehrmann, Volker |d 1955- |0 (DE-588)172254140 |4 aut | |
| 700 | 1 | |a Sharma, Puneet |0 (DE-588)1213403235 |4 aut | |
| 700 | 1 | |a Vandereycken, Bart |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035470442 | |
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| author | Gillis, Nicolas ca. 20./21. Jh Guglielmi, Nicola Lubich, Christian 1959- Mehrmann, Volker 1955- Sharma, Puneet Vandereycken, Bart |
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| id | DE-604.BV050133824 |
| illustrated | Illustrated |
| indexdate | 2025-01-24T09:00:42Z |
| institution | BVB |
| isbn | 9783031713255 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035470442 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | XI, 174 Seiten Illustrationen, Diagramme |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Springer |
| record_format | marc |
| series | CIME Foundation Subseries |
| series2 | Lecture notes in mathematics CIME Foundation Subseries |
| spelling | Gillis, Nicolas ca. 20./21. Jh. (DE-588)1227519087 aut Recent stability issues for linear dynamical systems Cetraro, Italy 2021 Nicolas Gillis ; Nicola Guglielmi ; Christian Lubich ; Volker Mehrmann ; Punit Sharma ; Bart Vandereycken ; Nicola Guglielmi, Christian Lubich, (editors) Cham, Switzerland Springer [2024] XI, 174 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics CIME Foundation Subseries volume 2357 "This volume is the outgrowth of lectures presented during the CIME Summer School on Applied Mathematics, "Recent stability issues for linear dynamical systems. Matrix nearness problems and eigenvalue optimization", held in Cetraro (Italy) in September 2021 ..." Includes bibliographical references This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ‘stability’ is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization. The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems. Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory. Differential equations Dynamical systems Guglielmi, Nicola aut edt Lubich, Christian 1959- (DE-588)11167090X aut edt Mehrmann, Volker 1955- (DE-588)172254140 aut Sharma, Puneet (DE-588)1213403235 aut Vandereycken, Bart aut Erscheint auch als Online-Ausgabe 978-3-031-71326-2 CIME Foundation Subseries volume 2357 (DE-604)BV000676446 2357 |
| spellingShingle | Gillis, Nicolas ca. 20./21. Jh Guglielmi, Nicola Lubich, Christian 1959- Mehrmann, Volker 1955- Sharma, Puneet Vandereycken, Bart Recent stability issues for linear dynamical systems Cetraro, Italy 2021 CIME Foundation Subseries |
| title | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 |
| title_auth | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 |
| title_exact_search | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 |
| title_full | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 Nicolas Gillis ; Nicola Guglielmi ; Christian Lubich ; Volker Mehrmann ; Punit Sharma ; Bart Vandereycken ; Nicola Guglielmi, Christian Lubich, (editors) |
| title_fullStr | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 Nicolas Gillis ; Nicola Guglielmi ; Christian Lubich ; Volker Mehrmann ; Punit Sharma ; Bart Vandereycken ; Nicola Guglielmi, Christian Lubich, (editors) |
| title_full_unstemmed | Recent stability issues for linear dynamical systems Cetraro, Italy 2021 Nicolas Gillis ; Nicola Guglielmi ; Christian Lubich ; Volker Mehrmann ; Punit Sharma ; Bart Vandereycken ; Nicola Guglielmi, Christian Lubich, (editors) |
| title_short | Recent stability issues for linear dynamical systems |
| title_sort | recent stability issues for linear dynamical systems cetraro italy 2021 |
| title_sub | Cetraro, Italy 2021 |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT gillisnicolas recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 AT guglielminicola recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 AT lubichchristian recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 AT mehrmannvolker recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 AT sharmapuneet recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 AT vandereyckenbart recentstabilityissuesforlineardynamicalsystemscetraroitaly2021 |