Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral

Pablo A. Iglesias

doi:10.1016/S0005-1098(01)00103-0

Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral

Pablo A. Iglesias

Whiting School of Engineering

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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 possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.

Original language	English (US)
Pages (from-to)	1541-1550
Number of pages	10
Journal	Automatica
Volume	37
Issue number	10
DOIs	https://doi.org/10.1016/S0005-1098(01)00103-0
State	Published - Oct 2001

Keywords

Discrete-time systems
Entropy
Lyapunov exponents
Sensitivity
Time-varying systems

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/S0005-1098(01)00103-0

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title = "Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral",

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 possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.",

keywords = "Discrete-time systems, Entropy, Lyapunov exponents, Sensitivity, Time-varying systems",

author = "Iglesias, {Pablo A.}",

note = "Funding Information: This work was supported in part by the NSF under Grant ECS-9800057. ",

year = "2001",

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T2 - An analogue of Bode's sensitivity integral

AU - Iglesias, Pablo A.

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PY - 2001/10

Y1 - 2001/10

N2 - A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.

AB - A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.

KW - Discrete-time systems

KW - Entropy

KW - Lyapunov exponents

KW - Sensitivity

KW - Time-varying systems

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JO - Automatica

JF - Automatica

IS - 10

ER -

Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral

Abstract

Keywords

ASJC Scopus subject areas

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