MediumCalculusca-180

Routh-Hurwitz Stability Check

Problem

The cubic s^3 + a2*s^2 + a1*s + a0 is Hurwitz stable if and only if all coefficients are positive and a2*a1 > a0.

Given a2, a1, and a0, return True when the polynomial is stable and False otherwise.

Hint

The Routh array's first column must have no sign changes.

case 1

in: [3,2,1]

expected: true

case 2

in: [1,2,3]

expected: false

case 3

in: [0,1,1]

expected: false

case 4

in: [2,1,1]

expected: true

case 5

in: [1,1,1]

expected: false

Starter codePython

def routh_hurwitz_cubic(a2, a1, a0):
    # Your code here
    pass

5 test cases · run your code against them in the editor