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Time domain models for multiple time scale linear systems

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2 Author(s)
Silva-Madriz, R. ; University of California, Berkely, California ; Sastry, S.S.

We study the multiple time scales structure of linear systems of the form x = A0(¿)x + B0(¿)u y = C0(¿)x with a view to obtaining 'approximate' lower order dynamical models valid at different time scales. Our development includes the classical two time-scale case. We use our results to study the robustness of the positive realness of linear systems systems under singular perturbations.

Published in:

Decision and Control, 1984. The 23rd IEEE Conference on  (Volume:23 )

Date of Conference:

Dec. 1984

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