On the controllability of bimodal piecewise linear systems
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KünyeÇAMLIBEL, M.K., HEEMELS, W.P.M.H., SCHUMACHER, J.M. (2004). On the controllability of bimodal piecewise linear systems. In ALUR, R. PAPPAS, G.J. (eds.), 7th International Workshop on Hybrid Systems - Computation and Control, Philadelphia, Springer-Verlag, Volume 2993, pp. 250-264.
This paper studies controllability of bimodal systems that consist of two linear dynamics on each side of a given hyperplane. We show that the controllability properties of these systems can be inferred from those of linear systems for which the inputs are constrained in a certain way. Inspired by the earlier work on constrained controllability of linear systems, we derive necessary and sufficient conditions for a bimodal piecewise linear system to be controllable.