Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems
Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system
0-7803-7516-5
2292-2297
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
10 December 2002
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Laila, Dina Shona and Nesic, Dragan
(2002)
Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems.
In Proceedings of the 41st IEEE Conference on Decision and Control.
IEEE.
.
(doi:10.1109/CDC.2002.1184874).
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Conference or Workshop Item
(Paper)
Abstract
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system
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Published date: 10 December 2002
Venue - Dates:
41st IEEE Conference on Decision and Control, Las Vegas, Nevada, United States, 2002-12-10 - 2002-12-13
Organisations:
Mechatronics
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Local EPrints ID: 353721
URI: http://eprints.soton.ac.uk/id/eprint/353721
ISBN: 0-7803-7516-5
PURE UUID: 90d513a4-f85a-4a48-8f28-9d089ff16ac6
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Date deposited: 24 Jun 2013 13:03
Last modified: 14 Mar 2024 14:08
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Author:
Dina Shona Laila
Author:
Dragan Nesic
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