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

Dina Shona Laila; D. Nesic

doi:10.3182/20020721-6-ES-1901.01117

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

Dina Shona Laila, D. Nesic

Research output: Contribution to conference › 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.

Original language	English
Pages	275-280
DOIs	https://doi.org/10.3182/20020721-6-ES-1901.01117
Publication status	Published - 2002
Event	15th World Congress of the International Federation of Automatic Control: IFAC 2002 - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 Conference number: 15

Conference

Conference	15th World Congress of the International Federation of Automatic Control
Abbreviated title	IFAC 2002
Country/Territory	Spain
City	Barcelona
Period	21/07/02 → 26/07/02

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

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

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10.3182/20020721-6-ES-1901.01117

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title = "Changing Supply Rates For Input-Output To State Stable Discrete-Time Systems",

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.",

keywords = "Discrete-time systems, Sampled-data systems, Lyapunov function, Nonlinear control, Stability, Cascade control",

author = "Laila, {Dina Shona} and D. Nesic",

note = "The full text is currently unavailable on the repository.; 15th World Congress of the International Federation of Automatic Control : IFAC 2002, IFAC 2002 ; Conference date: 21-07-2002 Through 26-07-2002",

year = "2002",

doi = "10.3182/20020721-6-ES-1901.01117",

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T1 - Changing Supply Rates For Input-Output To State Stable Discrete-Time Systems

AU - Laila, Dina Shona

AU - Nesic, D.

N1 - Conference code: 15

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Discrete-time systems

KW - Sampled-data systems

KW - Lyapunov function

KW - Nonlinear control

KW - Stability

KW - Cascade control

U2 - 10.3182/20020721-6-ES-1901.01117

DO - 10.3182/20020721-6-ES-1901.01117

M3 - Paper

SP - 275

EP - 280

T2 - 15th World Congress of the International Federation of Automatic Control

Y2 - 21 July 2002 through 26 July 2002

ER -

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

Abstract

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