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Recent Stability Issues for Linear Dynamical Systems
- Cetraro, Italy 2021
Engelsk
Bogcover for Recent Stability Issues for Linear Dynamical Systems af Bart Vandereycken, Christian Lubich, Nicolas Gillis, Volker Mehrmann, Nicola Guglielmi, Punit Sharma, 9783031713255
Specifikationer
Sprog:
Engelsk
Sider:
176
ISBN-13:
9783031713255
Indbinding:
Paperback
ISBN-10:
3031713257
Udg. Dato:
14 dec 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
14 dec 2024

Recent Stability Issues for Linear Dynamical Systems

- Cetraro, Italy 2021
Engelsk
Paperback 2024
Format:

Bog beskrivelse

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.

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Specifikationer
Sprog:
Engelsk
Sider:
176
ISBN-13:
9783031713255
Indbinding:
Paperback
ISBN-10:
3031713257
Udg. Dato:
14 dec 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
14 dec 2024
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