TY - GEN
T1 - Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
AU - Liu, Bin
AU - Liu, Tengfei
AU - Hill, David J.
PY - 2011
Y1 - 2011
N2 - This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.
AB - This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.
KW - DIHS
KW - Dissipativity
KW - ISS
KW - Mixed K -dissipativity
KW - Network via Impulsive Interconnections
KW - Stabilization
UR - http://www.scopus.com/inward/record.url?scp=80053065847&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9789881725592
T3 - Proceedings of the 30th Chinese Control Conference, CCC 2011
SP - 1753
EP - 1758
BT - Proceedings of the 30th Chinese Control Conference, CCC 2011
T2 - 30th Chinese Control Conference, CCC 2011
Y2 - 22 July 2011 through 24 July 2011
ER -