| Issue |
ESAIM: COCV
Volume 14, Number 4, October-December 2008
|
|
|---|---|---|
| Page(s) | 699 - 724 | |
| DOI | https://doi.org/10.1051/cocv:2008008 | |
| Published online | 07 February 2008 | |
Generalized solutions to hybrid dynamical systems
1
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
2
Department of Mathematics, University
of Washington, Seattle, WA 98195, USA;
goebel@math.washington.edu
Received:
3
May
2006
Revised:
22
March
2007
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.
Mathematics Subject Classification: 93C73 / 34A37 / 93C65
Key words: Hybrid systems / generalized solutions / differential inclusions / difference inclusions / robust control / hybrid feedback
© EDP Sciences, SMAI, 2008
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