Title :
Computing the exponential of matrices
Author :
Cheng, Hon-Wing ; Yau, Stephen S T
Author_Institution :
Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
fDate :
29 June-1 July 1994
Abstract :
The following differential equation plays a fundamental role in the study of dynamical systems and linear systems: x˙=Ax; x(0)=x0; 0≤t<∞, where x and x0 are n-vectors and A is an nxn matrix of complex constants. The theoretical solution to this equation is given by x(t)=etAx0. In this paper, we discuss an algebraic method for computing etA and give explicit formular for n=3.
Keywords :
differential equations; matrix algebra; polynomials; characteristic polynomial; complex constants; differential equation; exponential; linear systems; matrix algebra; Computer science; Control systems; Equations; Fuzzy control; Laboratories; Linear systems; Polynomials; Statistics; Time of arrival estimation;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.735241