The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the roots of the polynomial have a positive real part, the behavior of the system will be divergent. Given a cell array of vectors that represent polynomials, remove the ones that have roots with positive real components.
Example:
polyIn = {[1 1],[1 -1]}
polyOut = {[1 1]}since roots([1 -1]) is 1, a positive number.
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Problem Comments
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2 Comments
Cris Luengo
on 14 Jul 2012
The test set should contain a polynomial with complex roots where the real part is positive, and a polynomial with a positive and a negative root.
Hans Kramer
on 31 Oct 2018
Too less test cases
Solution Comments
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1 Comment
Cris Luengo
on 14 Jul 2012
This removes only polinomials if all the roots are positive. Should read 'all' instead of 'any' here.
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