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Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems

Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems
Discrete-time Lyapunov-based small-gain theorem for parameterized 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 in controller design for a sampled-data system.
0018-9286
1783-1788
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba

Laila, Dina Shona and Nesic, Dragan (2003) Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems. IEEE Transactions on Automatic Control, 48 (10), 1783-1788. (doi:10.1109/TAC.2003.817928).

Record type: Article

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 in controller design for a sampled-data system.

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Published date: October 2003
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Organisations: Mechatronics

Identifiers

Local EPrints ID: 203211
URI: http://eprints.soton.ac.uk/id/eprint/203211
DOI: doi:10.1109/TAC.2003.817928
ISSN: 0018-9286
PURE UUID: bc77fd39-4490-480b-8738-b346defa88af

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Date deposited: 15 Nov 2011 16:25
Last modified: 14 Mar 2024 04:26

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Contributors

Author: Dina Shona Laila
Author: Dragan Nesic

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