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In control theory, a causal system (also known as a physical or nonanticipative system) is a system where the output depends on past and current inputs but not future inputs—i.e., the output y ( t 0 ) {\displaystyle y(t_{0})} depends only on the input x ( t ) {\displaystyle x(t)} for values of t ≤ t 0 {\displaystyle t\leq t_{0}} .
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