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

UR - http://www.scopus.com/inward/citedby.url?scp=52449095225&partnerID=8YFLogxK

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 -