STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.

Jeff S. Shamma; Michael Athans

doi:10.1109/cdc.1987.272856

STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.

Jeff S. Shamma^*, Michael Athans

^*Corresponding author for this work

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

7 Scopus citations

Abstract

A well-known result for finite-dimensional time-varying linear systems is that if each 'frozen time' is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution operator in the right-hand-side. The results are interpreted in the context of robustness of time-varying linear systems with special emphasis on analysis of gain-scheduled control systems.

Original language	English (US)
Pages (from-to)	434-439
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1987.272856
State	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Control and Optimization
Control and Systems Engineering
Modeling and Simulation

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10.1109/cdc.1987.272856

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title = "STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.",

abstract = "A well-known result for finite-dimensional time-varying linear systems is that if each 'frozen time' is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution operator in the right-hand-side. The results are interpreted in the context of robustness of time-varying linear systems with special emphasis on analysis of gain-scheduled control systems.",

author = "Shamma, {Jeff S.} and Michael Athans",

year = "1987",

doi = "10.1109/cdc.1987.272856",

language = "English (US)",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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T1 - STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.

AU - Shamma, Jeff S.

AU - Athans, Michael

PY - 1987

Y1 - 1987

N2 - A well-known result for finite-dimensional time-varying linear systems is that if each 'frozen time' is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution operator in the right-hand-side. The results are interpreted in the context of robustness of time-varying linear systems with special emphasis on analysis of gain-scheduled control systems.

AB - A well-known result for finite-dimensional time-varying linear systems is that if each 'frozen time' is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution operator in the right-hand-side. The results are interpreted in the context of robustness of time-varying linear systems with special emphasis on analysis of gain-scheduled control systems.

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U2 - 10.1109/cdc.1987.272856

DO - 10.1109/cdc.1987.272856

M3 - Conference article

AN - SCOPUS:0023569149

SN - 0191-2216

SP - 434

EP - 439

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.

Abstract

ASJC Scopus subject areas

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