%I IEEE
%L eprints611
%X We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming
%K hybrid systems; mixed-integer linear programming; piecewise affine systems; controllability; integer programming; linear programming; linear systems; observability
%A Alberto Bemporad
%A Giancarlo Ferrari-Trecate
%A Manfred Morari
%D 1999
%V 4
%B Decision and Control Conference
%T Observability and controllability of piecewise affine and hybrid systems
%R 10.1109/CDC.1999.827980
%C Phoenix, Arizona
%J Proc. 38th IEEE Conf. on Decision and Control
%P 3966-3971