Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno BehaviorThuan, L. Q. & Camlibel, M. K., Aug-2011, In : IEEE Transactions on Automatic Control. 56, 8, p. 1932-1936 5 p.
Research output: Contribution to journal › Article › Academic
In the context of continuous piecewise affine dynamical systems, we study the Zeno behavior, i.e., infinite number of mode transitions in finite time interval, in this note. The main result reveals that piecewise affine dynamical systems do not exhibit Zeno behavior. A direct benefit of the main result is that one can apply smooth ordinary differential equations theory in a local manner for the analysis of piecewise affine systems.
|Number of pages||5|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Aug-2011|
- Hybrid systems, piecewise affine systems, Zeno behavior, HYBRID SYSTEMS, COMPLEMENTARITY SYSTEMS
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