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HYBRID LIMIT CYCLES AND HYBRID POINCARÉ-BENDIXSON
Slobodan N. Simić* Karl Henrik Johansson** John Lygeros*** Shankar Sastry*
* Department of Electrical Engineering and Computer Sciences,
University of California, Berkeley, CA 94720-1774, U.S.A.
Email: simic@eecs.berkeley.edu
** Department of Signals, Sensors & Systems, Royal Institute of
Technology, 100 44 Stockholm, Sweden.Email:
kallej@s3.kth.se
*** Department of Engineering, University of Cambridge, Cambridge
CB2 1PZ, U.K. Email: jl290@eng.cam.ac.uk
We present two results about regular hybrid systems with no branching. The first one provides a condition for asymptotic stability of hybrid closed orbits in terms of contraction-expansion rates of resets and flows in a hybrid system. The second one is a generalization of the Poincaré-Bendixson theorem to planar hybrid systems.
Keywords: Regular hybrid system; hybrifold; hybrid flow; hybrid closed orbit
Session slot T-Th-M08: Oscillations in Nonsmooth Feedback Systems/Area code 2c : Non-linear Systems
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