東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Recent stability issues for linear d...

Gillis, Nicolas.

Linked to FindBook

Google Book

Amazon

博客來

Recent stability issues for linear dynamical systems = Cetraro, Italy 2021 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Recent stability issues for linear dynamical systems/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Stability - Congresses. -
Online resource:	https://doi.org/10.1007/978-3-031-71326-2
ISBN:	9783031713262

Recent stability issues for linear dynamical systems = Cetraro, 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 ;v. 2357..

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

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

1071115
Stability
--Congresses.

LC Class. No.: QA871

Dewey Class. No.: 515.354

Recent stability issues for linear dynamical systems = Cetraro, Italy 2021 /
LDR:02863nmm a2200337 a 4500 001 2389189
003 DE-He213
005 20241214115302.0
006 m d
007 cr nn 008maaau
008 250916s2024 sz s 0 eng d
020 $a 9783031713262 $q (electronic bk.)
020 $a 9783031713255 $q (paper)
024 7 $a 10.1007/978-3-031-71326-2 $2 doi
035 $a 978-3-031-71326-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA871
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.354 $2 23
090 $a QA871 $b .R295 2024
245 0 0 $a Recent stability issues for linear dynamical systems $h [electronic resource] : $b Cetraro, Italy 2021 / $c by Nicolas Gillis ... [et al.] ; edited by Nicola Guglielmi, Christian Lubich.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xi, 176 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics ; $v v. 2357
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.
650 0 $a Stability $v Congresses. $3 1071115
650 0 $a Linear systems $v Congresses. $3 3754767
650 0 $a Differential equations, Linear $v Congresses. $3 3754768
650 1 4 $a Differential Equations. $3 907890
650 2 4 $a Dynamical Systems. $3 3538746
700 1 $a Gillis, Nicolas. $3 3754764
700 1 $a Guglielmi, Nicola. $3 2047523
700 1 $a Lubich, Christian. $3 3754765
710 2 $a SpringerLink (Online service) $3 836513
711 2 $a C.I.M.E. Summer School $d (2021 : $c Cetraro, Italy) $3 3662236
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2357. $3 3754766
856 4 0 $u https://doi.org/10.1007/978-3-031-71326-2
950 $a Mathematics and Statistics (SpringerNature-11649)