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Recent stability issues for linear dynamical systemsCetraro, Italy 2021 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Recent stability issues for linear dynamical systemsby Nicolas Gillis ... [et al.] ; edited by Nicola Guglielmi, Christian Lubich.
Reminder of title:	Cetraro, Italy 2021 /
other author:	Gillis, Nicolas.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xi, 176 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	StabilityCongresses.
Online resource:	https://doi.org/10.1007/978-3-031-71326-2
ISBN:	9783031713262$q(electronic bk.)

Recent stability issues for linear dynamical systemsCetraro, Italy 2021 /
Recent stability issues for linear dynamical systemsCetraro, Italy 2021 /[electronic resource] :by Nicolas Gillis ... [et al.] ; edited by Nicola Guglielmi, Christian Lubich. - Cham :Springer Nature Switzerland :2024. - xi, 176 p. :ill. (chiefly color), digital ;24 cm. - Lecture notes in mathematics ;v. 2357. - Lecture notes in mathematics ;2035..

Introduction -- Chapter 1. Solving Matrix Nearness Problems via Hamiltonian Systems, Matrix Factorization and Optimisation -- Chapter 2. Eigenvalue Optimization and Matrix Nearness Problems via Constrained Gradient Systems -- Chapter 3. Regularity, Stability, Passivity and Controllability of Structured Linear Descriptor Systems -- Chapter 4. Algorithms for Eigenvalue Optimization Related to Stability of Dynamical Systems.

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.

ISBN: 9783031713262$q(electronic bk.)

Standard No.: 10.1007/978-3-031-71326-2doiSubjects--Topical Terms:

467775
Stability
--Congresses.

LC Class. No.: QA871

Dewey Class. No.: 515.354

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505 0 $a Introduction -- Chapter 1. Solving Matrix Nearness Problems via Hamiltonian Systems, Matrix Factorization and Optimisation -- Chapter 2. Eigenvalue Optimization and Matrix Nearness Problems via Constrained Gradient Systems -- Chapter 3. Regularity, Stability, Passivity and Controllability of Structured Linear Descriptor Systems -- Chapter 4. Algorithms for Eigenvalue Optimization Related to Stability of Dynamical Systems.
520 $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.
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