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On the identification of state-derivative-coupled systems

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1 Author(s)
Mendel, J. ; University of Southern California, Los Angeles, CA, USA

This short paper treats one aspect of the identification of state-derivative-coupled systems, such as M\dot{x}(t) = Ax(t) + Bu(t) + w(t) where M \neq I , and M is invertible. This equation can also be written as \dot{x}(t) = F_{1}x(t) + F_{2}u(t) + \omega (t) . We assume that reduced form parameters ( F_{1}, F_{2} ) are identifiable and develop a sequence of tests for establishing the identifiability of structural parameters ( M, A, B ) from ( F_{1} F_{2} ). The tests are constructive, in that they not only can be used to ascertain the identifiability of ( M, A, B ); but, if ( M, A, B ) are not identifiable, can also indicate corrective actions to be taken so that ( M, A, B ) are identifiable.

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Automatic Control, IEEE Transactions on  (Volume:20 ,  Issue: 6 )