Recent Stability Issues for Linear Dynamical Systems

Name: Recent Stability Issues for Linear Dynamical Systems
Brand: Springer, Berlin
SKU: 9783031713255
Price: 415.32 RON
Availability: InStock

Cetraro, Italy 2021

Autor: Nicolas Gillis, Volker Mehrmann, Punit Sharma, Bart Vandereycken, Nicola Guglielmi, Nicola Guglielmi, Christian Lubich, Christian Lubich

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Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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This book concerns matrix nearness problems in the framework of spectral optimization. It addresses...

Informații despre carte

Autor

Nicolas Gillis, Volker Mehrmann, Punit Sharma, Bart Vandereycken, Nicola Guglielmi, Nicola Guglielmi, Christian Lubich, Christian Lubich

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2025

Pagini

200

EAN

9783031713255

Enbook ID

46550410

Editura

Springer, Berlin

Greutate

295

Dimensiuni

155 x 235

Descriere completă

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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Recent Stability Issues for Linear Dynamical Systems

Cetraro, Italy 2021

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