Abstract
Many methods for linear system analysis are based on explicit linear ODEs. Constrained linear systems have therefore to be reduced first to an explicit linear ODE. In Sec. 1.4 such a reduction was obtained for tree structured systems by formulating the system in relative coordinates. For general systems this reduction has to be performed numerically. The reduction to this so-called state space form will be the topic of the first part of this chapter. Then, the exact solution of linear ODEs and DAEs is discussed.
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© 1998 Springer Fachmedien Wiesbaden
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Eich-Soellner, E., Führer, C. (1998). Linear Systems. In: Numerical Methods in Multibody Dynamics. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09828-7_2
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DOI: https://doi.org/10.1007/978-3-663-09828-7_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-09830-0
Online ISBN: 978-3-663-09828-7
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