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Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications

Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications
Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications
Input-testate stability (ISS) of a parameterized family
of discrete-time time-varying nonlinear systems is
investigated. A converse Lyapunov theorem for such systems is developed. We consider parameterized families of discrete-time systems and concentrate on a semiglobal practical property that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. Application of our main result to time-varying periodic systems is presented. This is then used to design a semiglobal practical ISS (SP-ISS) control law for the model of a wheeled mobile robot.
0-7803-8873-9
274-282
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Astolfi, Alessandro
3045f9a9-e8f3-4f19-9f5d-08364de75cdb
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Astolfi, Alessandro
3045f9a9-e8f3-4f19-9f5d-08364de75cdb

Laila, Dina Shona and Astolfi, Alessandro (2005) Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications. 5th Asian Control Conference, Melbourne, Australia. 19 - 22 Jul 2004. pp. 274-282 . (doi:10.1109/ASCC.2004.184778).

Record type: Conference or Workshop Item (Paper)

Abstract

Input-testate stability (ISS) of a parameterized family
of discrete-time time-varying nonlinear systems is
investigated. A converse Lyapunov theorem for such systems is developed. We consider parameterized families of discrete-time systems and concentrate on a semiglobal practical property that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. Application of our main result to time-varying periodic systems is presented. This is then used to design a semiglobal practical ISS (SP-ISS) control law for the model of a wheeled mobile robot.

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Published date: 9 May 2005
Venue - Dates: 5th Asian Control Conference, Melbourne, Australia, 2004-07-19 - 2004-07-22
Organisations: Mechatronics

Identifiers

Local EPrints ID: 203237
URI: http://eprints.soton.ac.uk/id/eprint/203237
ISBN: 0-7803-8873-9
PURE UUID: 208160ae-5d05-45f4-8201-1f63404087d0

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Date deposited: 16 Nov 2011 10:08
Last modified: 22 Sep 2020 16:33

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