A note on time invariance and causality

Vidyasagar, M. (1983) A note on time invariance and causality IEEE Transactions on Automatic Control, 28 (9). pp. 929-931. ISSN 0018-9286

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Official URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arn...

Related URL: http://dx.doi.org/10.1109/TAC.1983.1103349


If one applies the standard definition of time invariance to systems whose input and output spaces consist of functions defined over an interval of the form [T0, ∞) where T0is finite, then a time-invariant system is necessarily causal in a weak sense. A definition of time invariance is given that is independent of causality, even when the underlying time interval is bounded on the left. Some consequences of this definition are discussed.

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