Applications of the general Lyapunov ISS small-gain theorem for networks

Title: Applications of the general Lyapunov ISS small-gain theorem for networks
Creator: Dashkovskiy, Sergey N.; Rüffer, Björn S.; Wirth, Fabian R.
Relation: 47th IEEE Conference on Decision and Control (CDC 2008) . Proceedings of the 47th IEEE Conference on Decision and Control (Cancun, Mexico 9-11 December, 2008) p. 25-30
Publisher Link: http://dx.doi.org/10.1109/CDC.2008.4739299
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2008
Description: In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for interconnected systems. In this note we recall the definitions of ISS Lyapunov functions and the corresponding general small gain theorems. These are then exemplarily used to prove input-to-state stability of and to construct ISS Lyapunov functions for four areas of applications: Linear systems, a Cohen-Grossberg neuronal network, error dynamics in formation control, as well as nonlinear transistor-linear resistor circuits.
Subject: input-to-state stability (ISS); Lyapunov functions; general small gain theorems; interconnected systems
Identifier: http://hdl.handle.net/1959.13/45157
Identifier: uon:6045
Identifier: ISBN:9781424431243
Language: eng
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