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Can the terminal condition of time-invariant linear control systems be made immune against small parameter variations?

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2 Author(s)
Bertele, U. ; Politecnico di Milano, Milano, Italy ; Guardabassi, G.

Discussed in this short paper is a controllability question pertaining to a class of sensitivity problems. More specifically, the possibility is considered of transferring a time-invariant linear system from each initial state to any terminal state in a finite time and in such a way that the terminal condition is insensitive to small parameter variations. Partial controllability, suitably defined, leads to a necessary and sufficient condition for the existence of the solution to such a problem. Terminal output insensitivity is also discussed and a similar result is proved when the output transformation is not affected by some parameter variations.

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Automatic Control, IEEE Transactions on  (Volume:16 ,  Issue: 5 )