Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе:
https://open.uns.ac.rs/handle/123456789/31812
Nаziv: | Pseudospectra localizations and their applications | Аutоri: | Kostić Vladimir Cvetković Ljiljana Cvetković Dragana |
Dаtum izdаvаnjа: | 2016 | Čаsоpis: | Numerical Linear Algebra with Applications | Sažetak: | © 2018 Elsevier Inc. Motivated by the growing successful use of fractional differential equations in the modeling of different important phenomena, in this paper we derive tools for practical analysis of the robust asymptotic stability of a (incommensurate) fractional order linear system. First, the concept of fractional pseudospectra is introduced. Second, driven by the simplicity and usefulness of spectral localizations in the analysis of various matrix properties, we introduce adequate localization techniques using the ideas that come from diagonally dominant matrices, in order to localize the fractional pseudospectra. In such way, many theoretical and practical applications of pseudospectra (robust stability, transient behavior, nonnormal dynamics, etc.) in fractional order differential systems can be linked to the specificity of the matrix entries, allowing one to understand certain phenomena in practice better. Third, we consider the fractional distance to instability in ℓ∞, ℓ1and ℓ2norms, and determine efficient lower bounds. Finally, this novel approach is implemented on the realistic model of empirical food web to link the stability (that incorporates hereditary dynamics of living organisms) with the empirical data and their uncertainty limitations. | URI: | https://open.uns.ac.rs/handle/123456789/31812 | ISSN: | 1070-5325 | DOI: | 10.1002/nla.2028 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
Prikаzаti cеlоkupаn zаpis stаvki
SCOPUSTM
Nаvоđеnjа
24
prоvеrеnо 20.05.2023.
Prеglеd/i stаnicа
14
Prоtеklа nеdеljа
0
0
Prоtеkli mеsеc
0
0
prоvеrеnо 10.05.2024.
Google ScholarTM
Prоvеritе
Аlt mеtrikа
Stаvkе nа DSpace-u su zаštićеnе аutоrskim prаvimа, sа svim prаvimа zаdržаnim, оsim аkо nije drugačije naznačeno.