Title :
A property of the Routh table and its use
Author :
Beghi, Alessandro ; Lepschy, Antonio ; Viaro, Umberto
Author_Institution :
Dipartimento di Elettronica e Inf., Padova Univ., Italy
fDate :
12/1/1994 12:00:00 AM
Abstract :
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
Keywords :
Routh methods; integral equations; poles and zeros; polynomials; transfer functions; transient response; Routh algorithm; Routh table; all-pole transfer functions; impulse response; polynomial; quadratic integrals; Character generation; Differential equations; History; Laplace equations; Polynomials; Robust stability; Robustness; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
