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Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior

Thuan, L. Q. & Camlibel, M. K., Aug-2011, In : IEEE Transactions on Automatic Control. 56, 8, p. 1932-1936 5 p.

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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.
Original languageEnglish
Pages (from-to)1932-1936
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume56
Issue number8
Publication statusPublished - Aug-2011

    Keywords

  • Hybrid systems, piecewise affine systems, Zeno behavior, HYBRID SYSTEMS, COMPLEMENTARITY SYSTEMS

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