Title :
On the computation of sensitivity functions of linear time-invariant systems responses via diagonalization
Author :
Wuu, T.L. ; Becker, R.G. ; Polak, E.
Author_Institution :
University of California, Berkeley, CA, USA
fDate :
12/1/1986 12:00:00 AM
Abstract :
This note presents a method for computing the sensitivity functions of parametrized linear time-invariant systems, for the case where the system matrix A is diagonalizable. The method is based on a formula, derived in the note, for the sensitivity of an exponential of a diagonalizable matrix.
Keywords :
Sensitivity, linear systems; Control systems; Design optimization; Differential equations; Eigenvalues and eigenfunctions; Frequency domain analysis; Matrix decomposition; Military computing; Polynomials; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104185