The Method of Calculate Exponential Function

Article Preview

Abstract:

The state-transition matrix in the linear control system has very important application. The calculation methods of state transition matrix Based on the theorem and an example have been given. Such as the method of Matrix diagonalization, Laplace transform, the matrix exponential function limited direct expansion, the differential equation and the method of undetermined coefficients usually can be used. Under different characteristic value and through contrast analysis, the author discusses the some of the calculation method. But the author requires readers according to the specific issues to make the best choice to calculate.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2061-2064

Citation:

Online since:

January 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A.D. Ziebur On determining the structure of A by analyzing , SIMA, 12(1970, 98-102. ).

Google Scholar

[2] W.T. Reid, Ordinary Differential Equations, John Wiley and Sons, New York, (1971).

Google Scholar

[3] WangGengLu, ShiRongChang. Theory of Matrix [M]. BeiJing: National Defence Industry Press, (1988).

Google Scholar

[4] ZhangHongWu, ZhongWanXie, Discussion about Numerical Computation of the Matrix Exponential[J]. Journal of DaLian University of Technology. 2000,40(5):522-525.

Google Scholar

[5] C. Moler and C. Vanloan, Nineteen clubious ways to compute the exponential of a atrix SIAM: Review, 20(1978) , 801-836.

DOI: 10.1137/1020098

Google Scholar