DocumentCode
2494542
Title
Sensitivity analysis for the Floquet multipliers
Author
Seyranian, Alexander P. ; Solem, Frederik ; Pedersen, Pauli
Author_Institution
Inst. of Mech., Lomonosov (M.V.) State Univ., Moscow, Russia
Volume
3
fYear
2000
fDate
2000
Firstpage
404
Abstract
For stability analysis of linear periodic systems with more than one degree of freedom, the Floquet method is a general and valuable, practical method. In multi-parameter periodic systems, repeated numerical integration to obtain the Floquet matrix may be a limiting factor, and effective sensitivity analysis of stability characteristics is therefore needed. In this paper we present analytical first and second order sensitivities of the Floquet matrix and its eigenvalues (multipliers)
Keywords
eigenvalues and eigenfunctions; matrix algebra; nonlinear dynamical systems; sensitivity analysis; Floquet matrix; Floquet method; Floquet multipliers; effective sensitivity analysis; eigenvalues; linear periodic systems; multi-parameter periodic systems; sensitivity analysis; stability characteristics; Differential equations; Eigenvalues and eigenfunctions; Sensitivity analysis; Solids; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.874268
Filename
874268
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