A PROPERTY OF THE ROUTH TABLE AND ITS USE

Citation
A. Beghi et al., A PROPERTY OF THE ROUTH TABLE AND ITS USE, IEEE transactions on automatic control, 39(12), 1994, pp. 2494-2496
Citations number
13
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
ISSN journal
00189286
Volume
39
Issue
12
Year of publication
1994
Pages
2494 - 2496
Database
ISI
SICI code
0018-9286(1994)39:12<2494:APOTRT>2.0.ZU;2-Z
Abstract
Starting from a given polynomial, the Routh algorithm recursively gene rates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is s hown that each of these energies is given by a linear combination of s ome of the others according to the entries of a row of the Routh table for the given polynomial. This fact can be exploited to evaluate cert ain quadratic integrals in an efficient way.