A property of the Routh table and its use

A property of the Routh table and its use

Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others ac...

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Veröffentlicht in:IEEE transactions on automatic control 1994-12, Vol.39 (12), p.2494-2496
Hauptverfasser: Beghi, A., Lepschy, A., Viaro, U.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Character generation
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Differential equations
Exact sciences and technology
History
Laplace equations
Polynomials
Robust stability
Robustness
Transfer functions
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Zusammenfassung:Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some 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 certain quadratic integrals in an efficient way.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.362839