An analogue of Bode's sensitivity integral for continuous-time, time-varying systems

P. A. Iglesias

doi:10.1109/acc.2001.945600

An analogue of Bode's sensitivity integral for continuous-time, time-varying systems

P. A. Iglesias

Whiting School of Engineering

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

Abstract

A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which posses an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the spectral values in the dichotomy spectrum of the unstable component of the open-loop dynamics.

Original language	English (US)
Title of host publication	Proceedings of the 2001 American Control Conference, ACC 2001
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	529-534
Number of pages	6
ISBN (Print)	0780364953
DOIs	https://doi.org/10.1109/acc.2001.945600
State	Published - 2001
Event	2001 American Control Conference, ACC 2001 - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Conference

Conference	2001 American Control Conference, ACC 2001
Country/Territory	United States
City	Arlington, VA
Period	6/25/01 → 6/27/01

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/acc.2001.945600

Cite this

An analogue of Bode's sensitivity integral for continuous-time, time-varying systems. / Iglesias, P. A.
Proceedings of the 2001 American Control Conference, ACC 2001. Institute of Electrical and Electronics Engineers Inc., 2001. p. 529-534 (Proceedings of the American Control Conference; Vol. 1).

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

Iglesias, PA 2001, An analogue of Bode's sensitivity integral for continuous-time, time-varying systems. in Proceedings of the 2001 American Control Conference, ACC 2001. Proceedings of the American Control Conference, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 529-534, 2001 American Control Conference, ACC 2001, Arlington, VA, United States, 6/25/01. https://doi.org/10.1109/acc.2001.945600

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abstract = "A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which posses an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the spectral values in the dichotomy spectrum of the unstable component of the open-loop dynamics.",

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ER -

An analogue of Bode's sensitivity integral for continuous-time, time-varying systems

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

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Cite this