Abstract
A generic class of flexible systems, characterized by countably infinitely many lightly damped harmonic oscillators, serves as a case study of the "open-loop principal component analysis," that is, singular value analysis and grammian balancing. As main result, it is shown that, as the relative damping goes to zero, the balanced state coordinates are decoupled and coincide with the modal coordinates. Further, the implications of this result for model reduction is discussed.
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© 1984 Springer-Verlag
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Jonckheere, E.A. (1984). Principal component analysis of flexible systems — Open-loop case. In: Fuhrmann, P.A. (eds) Mathematical Theory of Networks and Systems. Lecture Notes in Control and Information Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031077
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DOI: https://doi.org/10.1007/BFb0031077
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