Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Notes on matrix theory. X. A problem in control


Author: Richard Bellman
Journal: Quart. Appl. Math. 14 (1957), 417-419
MSC: Primary 34.0X
DOI: https://doi.org/10.1090/qam/82592
MathSciNet review: 82592
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Abstract: In the theory of control processes, it is important to be able to calculate $ \smallint _0^\infty \left( {x,Bx} \right)dt$ without having to solve explicitly the differential equation $ 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$th order linear differential equations.


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DOI: https://doi.org/10.1090/qam/82592
Article copyright: © Copyright 1957 American Mathematical Society


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