Changing Supply Rates For Input-Output To State Stable Discrete-Time Systems

Research output: Contribution to conferencePaper

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.
Original languageEnglish
Pages275-280
DOIs
Publication statusPublished - 2002
Event15th World Congress of the International Federation of Automatic Control: IFAC 2002 - Barcelona, Spain
Duration: 21 Jul 200226 Jul 2002
Conference number: 15

Conference

Conference15th World Congress of the International Federation of Automatic Control
Abbreviated titleIFAC 2002
CountrySpain
CityBarcelona
Period21/07/0226/07/02

Bibliographical note

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Keywords

  • Discrete-time systems
  • Sampled-data systems
  • Lyapunov function
  • Nonlinear control
  • Stability
  • Cascade control

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    Laila, D. S., & Nesic, D. (2002). Changing Supply Rates For Input-Output To State Stable Discrete-Time Systems. 275-280. Paper presented at 15th World Congress of the International Federation of Automatic Control, Barcelona, Spain. https://doi.org/10.3182/20020721-6-ES-1901.01117