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Routh's array in symbolic way

version 1.41 (1.27 KB) by

Routh's array of symbolic polinomials. It is different for similar functions in Matlab Central.



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[M L] = routh_hurwitz(P,N)
This function gives the Routh's array from a numerical or SYMBOLIC polynomial and includes two special cases: (1) the first element of the row is zero; (b) a row of zeros.
P Numerical or symbolic array of coeficients. In the case of symbolic variables it is necesarry to define them as: >> syms a b c ...
N Digits to be considered zero a number. E.g, for N=5, 10^(-5) is considered a zero. By default, N=10
M Routh's array without any simplification (e.g., with epsilon notation)
L Simplified first column of Routh's array with simplification (e.g., using the limit when epsilon tends to zero) that determines the number of roots in the right-half of the s-plane: the number of changes of signs in L
1. [M, L]=routh_hurwitz([1 0 2 3 4])
2. syms a b c d K; [M, L]=routh_hurwitz([1 b c d+a*K])
3. syms k; [M, L]=routh_hurwitz([1 k 1 1])
4. [M, L]=routh_hurwitz([1 -3 -15 -9 -58 12 72])
5. syms a; [M, L]=routh_hurwitz([1 0 2 3 a])

Developed by Carlos M. Vélez S.,
EAFIT University,
Medellín, Antioquia, Colombia
November 24th 2011

Comments and Ratings (3)

quite useful and handy!

Noman Khan

Kindly help me, this function worked perfectly last week, Now its shows busy, I do not know, how it will work again. Thanks


Cris (view profile)

I apllied thia script and is usefull



The function "limit" is used instead of "subs" function


It was fixed the problem when the last elements of a polynomial are zeros.


The input argument N was included

MATLAB Release
MATLAB 7.11 (R2010b)

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