Avoiding fold bifurcations with the help of new proximity indices

Altanis, G; Maratos, N

dc.contributor.author	Altanis, G	en
dc.contributor.author	Maratos, N	en
dc.date.accessioned	2014-03-01T02:51:52Z
dc.date.available	2014-03-01T02:51:52Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35699
dc.subject	Jacobian Matrix	en
dc.subject	Nonlinear System	en
dc.subject	Optimization Problem	en
dc.subject	Parameter Space	en
dc.subject	Power System	en
dc.subject	Qr Factorization	en
dc.subject	System Analysis and Design	en
dc.subject	Steepest Descent	en
dc.title	Avoiding fold bifurcations with the help of new proximity indices	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/MED.2009.5164689	en
heal.identifier.secondary	http://dx.doi.org/10.1109/MED.2009.5164689	en
heal.publicationDate	2009	en
heal.abstract	This work studies the problem of monitoring and avoiding fold (saddle-node) bifurcations of equilibria without solving any difficult optimization problems, such as the closest bifurcation problem. New scalar indices are proposed to monitor the proximity to fold bifurcations. These indices are based on the QR factorization of the Jacobian matrix, and they are directionally differentiable in the interior of the	en
heal.journalName	Mediterranean Conference on Control and Automation	en
dc.identifier.doi	10.1109/MED.2009.5164689	en