Convergence of the state of a passive nonlinear plant with an L2 input

B. Jayawardhana; G. Weiss

Convergence of the state of a passive nonlinear plant with an L2 input

B. Jayawardhana, G. Weiss

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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Abstract

In this paper, we consider a strictly output passive nonlinear plant P with storage function H. We assume that P is zero-state detectable. Under some mild conditions on H, we show that the state x of the plant converges to zero for any L2 input. This implies the solvability for all t ≥ 0 of the system equations, for every input in L^2_{loc} We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.

Original language	English
Title of host publication	European Control Conference 2007
Place of Publication	Kos, Greece
Publisher	European Union Control Association
Number of pages	7
Publication status	Published - 2007
Event	European Control Conference - Duration: 2-Jul-2007 → 5-Jul-2007

Conference

Conference	European Control Conference
Period	02/07/2007 → 05/07/2007

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@inproceedings{949e3be3fd9948cfa9de36c657cbd15e,

title = "Convergence of the state of a passive nonlinear plant with an L2 input",

abstract = "In this paper, we consider a strictly output passive nonlinear plant P with storage function H. We assume that P is zero-state detectable. Under some mild conditions on H, we show that the state x of the plant converges to zero for any L2 input. This implies the solvability for all t ≥ 0 of the system equations, for every input in L^2_{loc} We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.",

author = "B. Jayawardhana and G. Weiss",

note = "Relation: https://euca.papercept.net/conferences/conferences/ECC07/program/ECC07_ContentListWeb_2.html#wed14 Rights: -; European Control Conference ; Conference date: 02-07-2007 Through 05-07-2007",

year = "2007",

language = "English",

booktitle = "European Control Conference 2007",

publisher = "European Union Control Association",

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T1 - Convergence of the state of a passive nonlinear plant with an L2 input

AU - Jayawardhana, B.

AU - Weiss, G.

N1 - Relation: https://euca.papercept.net/conferences/conferences/ECC07/program/ECC07_ContentListWeb_2.html#wed14 Rights: -

PY - 2007

Y1 - 2007

N2 - In this paper, we consider a strictly output passive nonlinear plant P with storage function H. We assume that P is zero-state detectable. Under some mild conditions on H, we show that the state x of the plant converges to zero for any L2 input. This implies the solvability for all t ≥ 0 of the system equations, for every input in L^2_{loc} We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.

AB - In this paper, we consider a strictly output passive nonlinear plant P with storage function H. We assume that P is zero-state detectable. Under some mild conditions on H, we show that the state x of the plant converges to zero for any L2 input. This implies the solvability for all t ≥ 0 of the system equations, for every input in L^2_{loc} We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.

M3 - Conference contribution

BT - European Control Conference 2007

PB - European Union Control Association

CY - Kos, Greece

T2 - European Control Conference

Y2 - 2 July 2007 through 5 July 2007

ER -

Convergence of the state of a passive nonlinear plant with an L2 input

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