03773nam 22006135 450 99663567280331620251107183642.09783031713262303171326510.1007/978-3-031-71326-2(MiAaPQ)EBC31837004(Au-PeEL)EBL31837004(CKB)37018348800041(DE-He213)978-3-031-71326-2(PPN)282366644(EXLCZ)993701834880004120241214d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierRecent Stability Issues for Linear Dynamical Systems Cetraro, Italy 2021 /by Nicolas Gillis, Nicola Guglielmi, Christian Lubich, Volker Mehrmann, Punit Sharma, Bart Vandereycken ; edited by Nicola Guglielmi, Christian Lubich1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (184 pages)C.I.M.E. Foundation Subseries,2946-1820 ;23579783031713255 3031713257 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.C.I.M.E. Foundation Subseries,2946-1820 ;2357Differential equationsDynamicsDifferential EquationsDynamical SystemsDifferential equations.Dynamics.Differential Equations.Dynamical Systems.515.35Guglielmi Nicola739711Lubich Christian1959-58969Gillis Nicolas1430938Mehrmann V. L(Volker Ludwig),1955-755675Sharma Punit1780083Vandereycken Bart1780084MiAaPQMiAaPQMiAaPQBOOK996635672803316Recent Stability Issues for Linear Dynamical Systems4303717UNISA