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Generalized solutions to hybrid dynamical systems

Published online by Cambridge University Press:  07 February 2008

Ricardo G. Sanfelice ,
Rafal Goebel  and
Andrew R. Teel
Ricardo G. Sanfelice
Affiliation:
Center for Control, Dynamical Systems, and Computation; Department of Electrical and Computer Engineering; University of California, Santa Barbara, CA 93106-9560, USA; rsanfelice@ece.ucsb.edu; teel@ece.ucsb.edu
Rafal Goebel
Affiliation:
Department of Mathematics, University of Washington, Seattle, WA 98195, USA; goebel@math.washington.edu
Andrew R. Teel
Affiliation:
Center for Control, Dynamical Systems, and Computation; Department of Electrical and Computer Engineering; University of California, Santa Barbara, CA 93106-9560, USA; rsanfelice@ece.ucsb.edu; teel@ece.ucsb.edu
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Abstract

Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise in the system is taken into account.

Keywords

Hybrid systemsgeneralized solutionsdifferential inclusionsdifference inclusionsrobust controlhybrid feedback

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Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 4 , October 2008 , pp. 699 - 724
Copyright
© EDP Sciences, SMAI, 2008

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