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Matrix calculus and the sensitivity analysis of linear dynamic systems

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1 Author(s)
Brewer, J. ; University of California, Davis, CA, USA

The formulas for the derivatives of state transition matrices [3], [8] are extended in this note. The great usefulness of the matrix calculus [10], [12] is then demonstrated with alternative derivations of results in the theory of sensitivity analysis [8], [14] which are shorter and simpler than the original developments. It is anticipated that the formulas derived herein will be applied to parameter identification and feedback design methodologies.

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Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 4 )