000002859 001__ 2859
000002859 005__ 20141118153417.0
000002859 04107 $$acze
000002859 046__ $$k2008-12-04
000002859 100__ $$aSkrzypczyk, J.
000002859 24500 $$aNew Concepts for the Generalized Eigenvalue Problem with Applications to Dynamical Systems with Perturbed Coefficients

000002859 24630 $$n1.$$p70 Years of FCE STU - Proceedings of the International Scientific Conference
000002859 260__ $$bSlovak University of Technology in Bratislava, Faculty of Civil Engineering, 2008 
000002859 506__ $$arestricted
000002859 520__ $$2eng$$aIn this paper we study the generalized eigenvalue problem Ax=λBx for matrices with II-order perturbations with use of perturbation numbers. Such general formulation appears in many engineering applications. For example, many of coefficients of technical systems are known with some tolerance only. The dynamic system behaviour is thus best described by equations incorporating perturbed matrices. Designing robust stabilisation systems under these conditions becomes a problem of a great practical importance. Thus the stability analysis of perturbed dynamical systems reduces to the analysis of the properties of a real or complex matrices. Applications to dynamical systems described by second-order differential equations with perturbed coefficients are presented. The results improve considerably the earlier results of Skrzypczyk.

000002859 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000002859 653__ $$aGeneralized eigenvalue problem, II-order perturbations, tolerance, robust stability, dynamical systems, second-order differential equations.

000002859 7112_ $$aInternational Scientific Conference 70 Years of FCE STU$$cBratislava (SK)$$d2008-12-04 / 2008-12-05$$gHMC13
000002859 720__ $$aSkrzypczyk, J.
000002859 8560_ $$ffischerc@itam.cas.cz
000002859 8564_ $$s280424$$uhttps://invenio.itam.cas.cz/record/2859/files/05_A_Skrzypczyk.pdf$$y
             Original version of the author's contribution as presented on CD, .
            
000002859 962__ $$r2540
000002859 980__ $$aPAPER