Notes on matrix theory. X. A problem in control
- 1 January 1957
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 14 (4) , 417-419
- https://doi.org/10.1090/qam/82592
Abstract
In the theory of control processes, it is important to be able to calculate ∫ 0 ∞ ( x , B x ) d t \smallint _0^\infty \left ( {x,Bx} \right )dt without having to solve explicitly the differential equation d x / d t = A x , x ( 0 ) = c dx/dt = Ax, \\ x\left ( 0 \right ) = c . A method for doing this is presented in this paper, generalizing one due to Anke for n n th order linear differential equations.Keywords
This publication has 2 references indexed in Scilit:
- Eine neue Berechnungsmethode der quadratischen RegelflächeZeitschrift für angewandte Mathematik und Physik, 1955
- A formula for an integral occurring in the theory of linear servomechanisms and control-systemsQuarterly of Applied Mathematics, 1952