Stabilizability of bimodal piecewise linear systems with continuous vector field
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KünyeÇamlıbel, M. K., Heemels, M., & Schumacher, H. (2006). Stabilizability of bimodal piecewise linear systems with continuous vector field. In 2nd IFAC Conference on Analysis and Design of Hybrid Systems (pp. 290-295). Oxford: Elsevier. http://dx.doi.org/10.1016/B978-008044613-4.50054-9
This paper studies the open-loop stabilization problem for bimodal systems with continuous vector field. It is based on the earlier work of the authors on the controllability problem for the same class of systems. A full characterization of stabilizability is established by presenting algebraic necessary and sufficient conditions. It turns out that this system class inherits the relationship between controllability and stabilizability of linear systems.