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)|
|Number of pages||2|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1994|