TY  - JOUR
ID  - eprints463
EP  - 838
TI  - Efficient conversion of mixed logical dynamical systems into an equivalent piecewise affine form
AV  - none
KW  - automata; hybrid systems; linear threshold conditions; mixed logical dynamical systems; mixed-integer programming; multiparametric programming; piecewise affine system; propositional logic conditions; switched linear difference equations; system trajectory; difference equations; integer programming; time-varying systems
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1299020&isnumber=28859
SN  - 0018-9286
N2  - For hybrid systems described by switched linear difference equations, linear threshold conditions, automata, and propositional logic conditions, described in mixed logical dynamical form, this note describes two algorithms for transforming such systems into an equivalent piecewise affine form, where equivalent means that for the same initial conditions and input sequences the trajectories of the system are identical. The proposed techniques exploit ideas from mixed-integer programming and multiparametric programming.

VL  - 49
Y1  - 2004///
JF  - IEEE Transactions on Automatic Control 
IS  - 5
A1  - Bemporad, Alberto
PB  - IEEE
SP  - 832
ER  -