Title :
Structural stability of hybrid systems1
Author :
Simic, Slobodan N. ; Johansson, Karl H. ; Lygeros, John ; Sastry, Shankar
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, Berkeley, CA, USA
Abstract :
We study hybrid systems from a global geometric perspective as piecewise smooth dynamical systems. Based on an earlier work, we define the notion of the hybrifold as a single piece-wise smooth state space reflecting the dynamics of the original system. Structural stability for hybrid systems is introduced and analyzed in this framework. In particular, it is shown that a Zeno state is locally structurally stable and that a standard equilibrium on the boundary of a domain implies structural instability.
Keywords :
continuous time systems; discrete time systems; stability; Zeno state; continuous time dynamical system; discrete-time dynamical system; hybrid system; structural stability; Europe; Orbits; Space vehicles; Standards; Structural engineering; Trajectory; Vectors; Dynamical systems; Hybrid automata; Hybrifold; Stability; Zeno states;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
