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Changing supply rates for input-output to state stable discrete-time systems

Changing supply rates for input-output to state stable discrete-time systems
Changing supply rates for input-output to state stable discrete-time systems
We present results on changing supply rates for input-output to state stable (IOSS) discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new Lyapunov function from which the property of interest can be concluded. We present two applications of our results to discrete-time systems, i.e. a LaSalle criterion for input to state stability (ISS) and input to state stability with positive semidefinite Lyapunov functions
978-3-902661-74-6
1115-1120
International Federation of Automatic Control
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Basañez, Luis
de la Puente, Juan
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Basañez, Luis
de la Puente, Juan

Laila, Dina Shona and Nesic, Dragan (2002) Changing supply rates for input-output to state stable discrete-time systems. Basañez, Luis and de la Puente, Juan (eds.) In Proceedings of the 15th IFAC World Congress. International Federation of Automatic Control. pp. 1115-1120 . (doi:10.3182/20020721-6-ES-1901.01117).

Record type: Conference or Workshop Item (Paper)

Abstract

We present results on changing supply rates for input-output to state stable (IOSS) discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new Lyapunov function from which the property of interest can be concluded. We present two applications of our results to discrete-time systems, i.e. a LaSalle criterion for input to state stability (ISS) and input to state stability with positive semidefinite Lyapunov functions

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Published date: 2002
Venue - Dates: 15th IFAC World Congress, Barcelona, Spain, 2002-07-21 - 2002-07-26
Organisations: Mechatronics

Identifiers

Local EPrints ID: 353760
URI: http://eprints.soton.ac.uk/id/eprint/353760
ISBN: 978-3-902661-74-6
PURE UUID: d13914b4-f262-46d5-b48a-38eaf051bf85

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Date deposited: 17 Jun 2013 13:11
Last modified: 14 Mar 2024 14:09

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Contributors

Author: Dina Shona Laila
Author: Dragan Nesic
Editor: Luis Basañez
Editor: Juan de la Puente

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