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Nonlinear small-gain theorems for discrete-time large-scale systems

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3 Author(s)
Jiang Zhongping ; Dept. of Electr. & Comput. Eng., Polytech. Univ., Brooklyn, NY ; Lin Yuandan ; Wang Yuan

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.

Published in:

Control Conference, 2008. CCC 2008. 27th Chinese

Date of Conference:

16-18 July 2008