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Generalized Derivatives for Hybrid Systems
Journal article

Generalized Derivatives for Hybrid Systems

Abstract

Established sensitivity results for hybrid discrete/continuous dynamic systems are generalized by relaxing smoothness assumptions on the functions governing the systems' continuous evolution and discrete event handling. The new results only require L-smoothness of these functions in the sense of Nesterov, instead of continuous differentiability. Parametric lexicographic derivatives for such a hybrid system provide useful local first-order …

Authors

Khan KA; Barton PI

Journal

IEEE Transactions on Automatic Control, Vol. 62, No. 7, pp. 3193–3208

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

DOI

10.1109/tac.2016.2644759

ISSN

0018-9286