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

Tryphon T. Georgiou, Malcolm C. Smith

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)516-518
Number of pages3
JournalIEEE Transactions on Automatic Control
Volume40
Issue number3
DOIs
StatePublished - Mar 1995

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