TY  - JOUR
SN  - 0018-9286
AV  - none
ID  - eprints476
SP  - 1004
Y1  - 2008/05//
A1  - Bemporad, Alberto
A1  - Bianchini, Gianni
A1  - Brogi, Filippo
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4522602&isnumber=4522599
TI  - Passivity analysis and passification of discrete-time hybrid systems
N2  - For discrete-time hybrid systems in piecewise affine or piece-wise polynomial (PWP) form, this note proposes sufficient passivity analysis and synthesis criteria based on the computation of piecewise quadratic or PWP storage functions. By exploiting linear matrix inequality techniques and sum of squares decomposition methods, passivity analysis and synthesis of passifying controllers can be carried out through standard semidefinite programming packages, providing a tool particularly important for stability of interconnected heterogeneous dynamical systems.
KW  - PWP storage functions; discrete-time hybrid systems; interconnected heterogeneous dynamical systems; linear matrix inequality; passivity analysis; piece-wise polynomial form; piecewise affine form; piecewise quadratic; standard semidefinite programming packages; sum of squares decomposition methods; discrete time systems; piecewise polynomial techniques.
JF  - IEEE Transactions on Automatic Control 
IS  - 4
VL  - 54
PB  - IEEE 
EP  - 1009
ER  -