TY - JOUR
T1 - Decomposable dissipativity and related stability for discrete-time switched systems
AU - Liu, Bin
AU - Hill, David J.
PY - 2011/7
Y1 - 2011/7
N2 - This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.
AB - This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.
KW - Decomposable dissipativity
KW - discrete-time switched systems
KW - dissipativity
KW - main/subsidiary supply rate
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=79960110754&partnerID=8YFLogxK
U2 - 10.1109/TAC.2011.2121430
DO - 10.1109/TAC.2011.2121430
M3 - Article
SN - 0018-9286
VL - 56
SP - 1666
EP - 1671
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 7
M1 - 5721791
ER -