Construction of Lyapunov-Krasovskii functionals for networks of iISS retarded systems in small-gain formulation

Authors:
Hiroshi Ito;Zhong-Ping Jiang;Pierdomenico Pepe
Affiliations:
-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 9
Cited 0

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Abstract

This paper tackles a problem of verifying stability of retarded dynamical networks in a dissipative formulation. Subsystems are assumed to be integral input-to-state stable (iISS). Time-delays are allowed to reside in both subsystems and interconnection channels, and may be both discrete and distributed. No assumption is made on the interconnection topology. A small-gain methodology is developed for constructing a Lyapunov-Krasovskii functional to establish iISS of such a network.