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2019 IEEE 9th Annual Computing and Communication Workshop and Conference, CCWC 201912 March 2019, Article number 8666487, Pages 201-2059th IEEE Annual Computing and Communication Workshop and Conference, CCWC 2019; University of NevadaLas Vegas; United States; 7 January 2019 through 9 January 2019; Category numberCFP19CWA-ART; Code 146083

New pseudospectra localizations with application in ecology and vibration analysis(Conference Paper)

  • Cvetkovic, D.L.,
  • Cvetkovic, L.,
  • Kostic, V.R.
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  • aFaculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
  • bFaculty of Sciences, University of Novi Sad, Novi Sad, Serbia

Abstract

It is well-known that theory of pseudospectra has many important theoretical and practical applications, (for example, robust stability, transient behavior, nonnormal dynamics). It is also well-known that computational methods for pseudospectra determination are very costly for large matrices. Hence, it is necessary to find good, but relatively cheap, pseudospectra localizations. In this paper we derive some new pseudospectra localization sets, and compare them with the known ones, using relevant numerical examples arising in applications in ecology and vibration analysis. The new sets keep numerical complexity of the Pseudo-Geršgorin localization sets, but produce tighter results that can be compared to much more numerically complex localizations such as Pseudo-Brauer sets and Pseudo-CKV sets. © 2019 IEEE.

Author keywords

diagonal dominancedynamical systemslocalizationpseudospectrarobust stabilitystability

Indexed keywords

Engineering controlled terms:Convergence of numerical methodsDynamical systemsEcologyNumerical methods
Engineering uncontrolled termsDiagonal dominancelocalizationNonnormalNumerical complexityPseudospectraRobust stabilityTransient behavior
Engineering main heading:Vibration analysis

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja174019MPNTR
Ministarstvo Prosvete, Nauke i Tehnološkog RazvojaMPNTR

  • 1

    The work of all three authors has been partially supported by the Ministry of Education, Science and Technological Development of Serbia, Research Grant 174019.

  • ISBN: 978-172810554-3
  • Source Type: Conference Proceeding
  • Original language: English
  • DOI: 10.1109/CCWC.2019.8666487
  • Document Type: Conference Paper
  • Volume Editors: Chakrabarti S.,Saha H.N.
  • Sponsors: IEEE Region 6,IEEE Region R1,IEEE USA,Institute of Engineering and Management (IEM),University of Engineering and Management (UEM),UNLV
  • Publisher: Institute of Electrical and Electronics Engineers Inc.


© Copyright 2019 Elsevier B.V., All rights reserved.

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