Title :
The derivative of the exponential matrix with respect to a matrix
Author_Institution :
University of California, Davis, CA, USA
fDate :
8/1/1977 12:00:00 AM
Abstract :
The gradient matrix and its extensions have been useful tools in estimation theory [1], [3], [6]. Vetter developed the generalization to matrix-valued functions [4], [8]. Vetter´s theory is extended here to include the differentiation of the exponential of a matrix function.
Keywords :
Differentiation; Gradient methods; Matrix functions; Algebra; Calculus; Eigenvalues and eigenfunctions; Estimation theory; Linear systems; Mechanical engineering; Reduced order systems; Riccati equations; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1977.1101576
