TY - GEN
T1 - Nonlinear small-gain theorems for discrete-time large-scale systems
AU - Jiang, Zhongping
AU - Lin, Yuandan
AU - Wang, Yuan
PY - 2008
Y1 - 2008
N2 - In this work, we present generalizations of the nonlinear ISS small-gain theorem for discrete-time large-scale systems consisting of multiple subsystems, in a general setting of input-to-output stability. In other words, these discrete-time, large-scale small-gain theorems are established in terms of several types of gain functions, such as asymptotic gains, gains in decay estimations of the output functions, and Lyapunov gains. As a result, the set of cyclic small-gain conditions recovers the case of previously developed small-gain theorems either for an interconnected system comprised of two subsystems, or a network of ISS systems.
AB - In this work, we present generalizations of the nonlinear ISS small-gain theorem for discrete-time large-scale systems consisting of multiple subsystems, in a general setting of input-to-output stability. In other words, these discrete-time, large-scale small-gain theorems are established in terms of several types of gain functions, such as asymptotic gains, gains in decay estimations of the output functions, and Lyapunov gains. As a result, the set of cyclic small-gain conditions recovers the case of previously developed small-gain theorems either for an interconnected system comprised of two subsystems, or a network of ISS systems.
KW - Discrete-time systems
KW - IOS
KW - ISS ("input-to-state stability")
KW - Large-scale systems
KW - Nonlinear small-gain
UR - http://www.scopus.com/inward/record.url?scp=52449095225&partnerID=8YFLogxK
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U2 - 10.1109/CHICC.2008.4605053
DO - 10.1109/CHICC.2008.4605053
M3 - Conference contribution
AN - SCOPUS:52449095225
SN - 9787900719706
T3 - Proceedings of the 27th Chinese Control Conference, CCC
SP - 704
EP - 708
BT - Proceedings of the 27th Chinese Control Conference, CCC
T2 - 27th Chinese Control Conference, CCC
Y2 - 16 July 2008 through 18 July 2008
ER -