### 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 language | English (US) |
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Pages (from-to) | 2654-2655 |

Number of pages | 2 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 3 |

State | Published - Dec 1 1994 |

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## Cite this

Georgiou, T. T., & Smith, M. C. (1994). Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory.

*Proceedings of the IEEE Conference on Decision and Control*,*3*, 2654-2655.