Generalizations of asymptotic gain characterizations of ISS to input-to-output stability

B. Ingalls; E. D. Sontag; Y. Wang

doi:10.1109/acc.2001.946090

Generalizations of asymptotic gain characterizations of ISS to input-to-output stability

B. Ingalls, E. D. Sontag, Y. Wang

Research output: Contribution to journal › Conference article › peer-review

14 Scopus citations

Abstract

This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.

Original language	English (US)
Pages (from-to)	2279-2284
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	3
DOIs	https://doi.org/10.1109/acc.2001.946090
State	Published - 2001
Event	2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/acc.2001.946090

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title = "Generalizations of asymptotic gain characterizations of ISS to input-to-output stability",

abstract = "This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.",

author = "B. Ingalls and Sontag, {E. D.} and Y. Wang",

year = "2001",

doi = "10.1109/acc.2001.946090",

language = "English (US)",

volume = "3",

pages = "2279--2284",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2001 American Control Conference ; Conference date: 25-06-2001 Through 27-06-2001",

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T1 - Generalizations of asymptotic gain characterizations of ISS to input-to-output stability

AU - Ingalls, B.

AU - Sontag, E. D.

AU - Wang, Y.

PY - 2001

Y1 - 2001

N2 - This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.

AB - This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.

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U2 - 10.1109/acc.2001.946090

DO - 10.1109/acc.2001.946090

M3 - Conference article

AN - SCOPUS:0034848566

VL - 3

SP - 2279

EP - 2284

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

T2 - 2001 American Control Conference

Y2 - 25 June 2001 through 27 June 2001

ER -

Generalizations of asymptotic gain characterizations of ISS to input-to-output stability

Abstract

All Science Journal Classification (ASJC) codes

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