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On Observation of Time-Delay Systems With Unknown Inputs

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5 Author(s)
Zheng, G. ; Project Non-A, INRIA Lille-Nord Eur., Villeneuve-d''Ascq, France ; Barbot, J.-P. ; Boutat, D. ; Floquet, T.
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Causal and non-causal observability are discussed in this technical note for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia , the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinates leading to such a form.

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Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 8 )