Intrinsic Difficulties in Using the Doubly-Infinite Time Axis for Input-Output Control Theory

Tryphon T. Georgiou; Malcolm C. Smith

doi:10.1109/9.376072

Intrinsic Difficulties in Using the Doubly-Infinite Time Axis for Input-Output Control Theory

Tryphon T. Georgiou, Malcolm C. Smith

Electrical and Computer Engineering

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

34 Scopus citations

Abstract

We point out that the natural definitions of stability and causality in input-output control theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In particular, linear time-invariant systems with right-half plane poles cannot be considered to be both causal and stabilizable. In contrast, there is no such conflict when the semi-infinite time axis is used.

Original language	English (US)
Pages (from-to)	516-518
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	40
Issue number	3
DOIs	https://doi.org/10.1109/9.376072
State	Published - Mar 1995

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abstract = "We point out that the natural definitions of stability and causality in input-output control theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In particular, linear time-invariant systems with right-half plane poles cannot be considered to be both causal and stabilizable. In contrast, there is no such conflict when the semi-infinite time axis is used.",

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Intrinsic Difficulties in Using the Doubly-Infinite Time Axis for Input-Output Control Theory

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