Hybrid systems: generalized solutions and robust stability

Publication Type:

E. Conference Papers

Authors:

R. Goebel; J.P. Hespanha; A.R. Teel; C. Cai; R. G. Sanfelice

Source:

Proc. 6th IFAC Symposium in Nonlinear Control Systems, Issue NULL, p.1–12 (2004)

Call Number:

NULL

Accession Number:

NULL

Other Number:

NULL

URL:

https://hybrid.soe.ucsc.edu/files/preprints/3.pdf

Keywords:

hybrid systems

Abstract:

Robust asymptotic stability for hybrid systems is considered. For this purpose, a generalized solution concept is developed. The first step is to characterize a hybrid time domain that permits an efiient description of the convergence of a sequence of solutions. Graph convergence is used. Then a generalized solution definition is given that leads to continuity with respect to initial conditions and perturbations of the system data. This property enables new results on necessary conditions for asymptotic stability in hybrid systems.

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