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

Bayu Jayawardhana; George Weiss

doi:10.23919/ecc.2007.7068832

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

Bayu Jayawardhana, George Weiss

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

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 L²_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	2007 European Control Conference, ECC 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4242-4248
Number of pages	7
ISBN (Electronic)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068832
State	Published - 2007
Externally published	Yes
Event	2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Publication series

Name	2007 European Control Conference, ECC 2007

Conference

Conference	2007 9th European Control Conference, ECC 2007
Country/Territory	Greece
City	Kos
Period	2/07/07 → 5/07/07

Access to Document

10.23919/ecc.2007.7068832

Cite this

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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 L2loc. We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.",

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Jayawardhana, B & Weiss, G 2007, Convergence of the state of a passive nonlinear plant with an L² input. in 2007 European Control Conference, ECC 2007., 7068832, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 4242-4248, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07. https://doi.org/10.23919/ecc.2007.7068832

Convergence of the state of a passive nonlinear plant with an L² input. / Jayawardhana, Bayu; Weiss, George.
2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 4242-4248 7068832 (2007 European Control Conference, ECC 2007).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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