Title :
Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior
Author :
Le Quang Thuan ; Camlibel, M. Kanat
Author_Institution :
Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
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.
Keywords :
continuous systems; differential equations; nonlinear dynamical systems; piecewise linear techniques; Zeno behavior; continuous piecewise affine dynamical systems; smooth ordinary differential equations theory; Computer science; Conferences; Differential equations; Indexes; Linear systems; USA Councils; Vectors; Hybrid systems; Zeno behavior; piecewise affine systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2141570
