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UID:20251122T001848EST-3954GNR39E@132.216.98.100
DTSTAMP:20251122T051848Z
DESCRIPTION:Title: Robust stability of linear systems of linear delay diffe
 rential equations.\n\nAbstract: \n\nWe consider a class of nonlinear eigen
 value problems including those arising from stability analysis of linear s
 ystems of delay differential equations.Our aim is to compute the pseudospe
 ctral abscissa\, i.e. the real part of the rightmost point in the pseudosp
 ectrum\, and detect - for a stable system - when the pseudospectral abscis
 sa vanishes\, which determines a nearby system which is not anymore stable
 . If this occurs for a small perturbation of the considered stable system\
 , this is a sign of lack of robustness.\n\nIn analogy to the linear eigenv
 alue problem we have that it is sufficient to restrict the analysis to ran
 k-1 perturbations of the matrices of the system. Using this main result we
  present a gradient system approach which only requires the computation of
  the spectral abscissa of a sequence of problems obtained by adding rank o
 ne updates to the matrices. In order to be applied these methods simply re
 quire a procedure to compute the rightmost eigenvalue and the correspondin
 g left and right eigenvectors. In addition\, if the matrices are large and
  sparse then the computation of the rightmost eigenvalue can for many clas
 ses of nonlinear eigenvalue problems be performed in an efficient way by i
 terative algorithms which only rely on matrix vector multiplication and on
  solving systems of linear equations\, where the structure of the matrices
  (sparse plus rank one updates) can be exploited. \n\nZoom Meeting :\n\nht
 tps://us06web.zoom.us/j/85327310903?pwd=SlhEak53S2xrNkVYKzl4YUd5KzBudz09\n
 \nMeeting ID: 853 2731 0903\n\nPassword: 383854\n	 \n
DTSTART:20221017T200000Z
DTEND:20221017T210000Z
SUMMARY:Nicola Guglielmi (Gran Sasso Science Institute)
URL:/mathstat/channels/event/nicola-guglielmi-gran-sas
 so-science-institute-342779
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