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Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form

Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form
Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form
Input-to-state 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 type of stability that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. An application of our main result to time-varying periodic systems is presented, and this is used to solve a robust stabilization problem, namely to design a control law for systems in power form yielding semiglobal practical ISS (SP-ISS).
0005-1098
1891-1903
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 (2005) Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form. Automatica, 41 (11), 1891-1903. (doi:10.1016/j.automatica.2005.06.003).

Record type: Article

Abstract

Input-to-state 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 type of stability that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. An application of our main result to time-varying periodic systems is presented, and this is used to solve a robust stabilization problem, namely to design a control law for systems in power form yielding semiglobal practical ISS (SP-ISS).

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Published date: November 2005
Organisations: Mechatronics

Identifiers

Local EPrints ID: 203213
URI: http://eprints.soton.ac.uk/id/eprint/203213
ISSN: 0005-1098
PURE UUID: 8bf20d5c-df2f-4359-9d4c-e46168776b31

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Date deposited: 15 Nov 2011 16:26
Last modified: 02 Dec 2019 21:14

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