Routh’s array in symbolic way软件

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

软件应用简介

[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 

Examples: 

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])

界面展示

结果示意

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