Browsing by Author "Thuan, Le Quang"
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Continuous piecewise affine dynamical systems do not exhibit zeno behavior
Thuan, Le Quang; Çamlıbel, Mehmet Kanat (IEEE, 2011-08)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 ... -
Controllability and stabilizability of a class of continuous piecewise affine dynamical systems
Thuan, Le Quang; Çamlıbel, Mehmet Kanat (Society for Industrial and Applied Mathematics, 2014)This paper studies controllability and stabilizability of continuous piecewise affine dynamical systems which can be considered as a collection of ordinary finite-dimensional linear input/state/output systems, together ... -
On the existence, uniqueness and nature of caratheodory and filippov solutions for bimodal piecewise affine dynamical systems
Thuan, Le Quang; Çamlıbel, Mehmet Kanat (Elsevier, 2014-06)In this paper, we deal with the well-posedness (in the sense of existence and uniqueness of solutions) and nature of solutions for discontinuous bimodal piecewise affine systems in a differential inclusion setting. First, ... -
On well-posedness of piecewise affine bimodal dynamical systems
Thuan, Le Quang; Çamlıbel, Mehmet Kanat (MTA SZTAKI, 2010-07)The theory of differential inclusions provides certain sufficient conditons for the uniqueness of Filippov solutions such as one-sided Lipschitzian property or maximal monotone condition. When applied to piecewise affine ...
