Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory

Tryphon T. Georgiou, Malcolm C. Smith

Research output: Contribution to journalArticle

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, 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)2654-2655
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
StatePublished - Dec 1 1994

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