Mathematics – Optimization and Control
Scientific paper
2002-03-21
Mathematics
Optimization and Control
Further work in http://math.rutgers.edu/~sontag
Scientific paper
This note provides a simple result showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, then S must necessarily contain a subsystem which is capable of generating all the signals in U. It is not assumed that regulation is robust, nor is there a prior requirement for the system to be partitioned into separate plant and controller components.
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