A novel method of evaluatinge^{At}in closed form

1 October 1970

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 15 (5) , 600-601
https://doi.org/10.1109/tac.1970.1099568

Abstract

A new method for evaluating the exponential of a matrix with distinct eigenvalues in closed form is presented. This technique uses the Vandermonde matrix and is in many respects superior to other known methods.

Keywords

EQUATIONS
EIGENVALUES AND EIGENFUNCTIONS
SYMMETRIC MATRICES
STEADY-STATE
CONTROL SYSTEMS
KALMAN FILTERS
LINEAR SYSTEMS
LAGRANGIAN FUNCTIONS
PERFORMANCE ANALYSIS
RECURSIVE ESTIMATION

This publication has 4 references indexed in Scilit:

A method for calculating e^ATbased on the Cayley-Hamilton theorem
Proceedings of the IEEE, 1969
Transient response evaluation from the state transition matrix
Proceedings of the IEEE, 1969
On the reverse Vandermonde matrix
IEEE Transactions on Automatic Control, 1966
Determination of the inverse Vandermonde matrix
IEEE Transactions on Automatic Control, 1964