Controllability and stabilizability of a class of continuous piecewise affine dynamical systems
KünyeTHUAN, L.Q., ÇAMLIBEL, M.K. (2014). Controllability and stabilizability of a class of continuous piecewise affine dynamical systems. Siam Journal on Control and Optimization, 52 (3), pp. 1914-1934. http://dx.doi.org/10.1137/120890132.
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 with a partition of the product of the state space and input space into (full-dimensional) polyhedral regions. Each of these regions is associated with one particular linear system from the collection. The main results of the paper are Popov-Belevitch-Hautus-type necessary and sufficient conditions for both controllability and stabilizability of such systems.