TY  - JOUR
A1  - Tschaikowski, Max
A1  - Tribastone, Mirco
Y1  - 2016///
SP  - 1099
SN  - 0018-9286
PB  - IEEE
EP  - 1104
VL  - 61
N2  - We present a model reduction technique for a class of nonlinear ordinary differential equation (ODE) models of heterogeneous systems, where heterogeneity is expressed in terms of classes of state variables having the same dynamics structurally, but which are characterized by distinct parameters. To this end, we first build a system of differential inequalities that provides lower and upper bounds for each original state variable, but such that it is homogeneous in its parameters. Then, we use two methods for exact aggregation of ODEs to exploit this homogeneity, yielding a smaller model of size independent of the number of heterogeneous classes. We apply this technique to two case studies: a multiclass queuing network and a model of epidemics spread.
JF  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2015.2457172
IS  - 4
ID  - eprints2730
TI  - Approximate reduction of heterogenous nonlinear models with differential hulls
AV  - public
ER  -