TY - JOUR
T1 - Controllability of a class of bimodal discrete-time piecewise linear systems
AU - Yurtseven, E.
AU - Camlibel, M.K.
AU - Heemels, W.P.M.H.
PY - 2013
Y1 - 2013
N2 - In this paper we will provide full algebraic necessary and sufficient conditions for the controllability/
reachability/null controllability of a class of bimodal discrete-time piecewise linear systems including
several instances of interest that are not covered by existing works which focus primarily on the planar
case. In particular, the class is characterized by a continuous right-hand side, a scalar input and a transfer
function from the control input to the switching variable with at most two zeroes whereas the state
can be of any dimension. To prove the main result, we will make use of geometric control theory for linear
systems and a novel result on controllability for input-constrained linear systems with non-convex
constraint sets.
© 2013 Elsevier B.V. All rights reserved.
AB - In this paper we will provide full algebraic necessary and sufficient conditions for the controllability/
reachability/null controllability of a class of bimodal discrete-time piecewise linear systems including
several instances of interest that are not covered by existing works which focus primarily on the planar
case. In particular, the class is characterized by a continuous right-hand side, a scalar input and a transfer
function from the control input to the switching variable with at most two zeroes whereas the state
can be of any dimension. To prove the main result, we will make use of geometric control theory for linear
systems and a novel result on controllability for input-constrained linear systems with non-convex
constraint sets.
© 2013 Elsevier B.V. All rights reserved.
U2 - 10.1016/j.sysconle.2013.01.006
DO - 10.1016/j.sysconle.2013.01.006
M3 - Article
SN - 0167-6911
VL - 62
SP - 338
EP - 344
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 4
ER -