In mathematics, a Hurwitz polynomial, named after Adolf Hurwitz, is a polynomial whose coefficients are positive real numbers and whose zeros are located in the left half-plane of the complex plane, that is, the real part of every zero is negative. One sometimes uses the term Hurwitz polynomial simply as a (real or complex) polynomial with all zeros in the left-half plane (i.e., a Hurwitz stable polynomial).
A polynomial is said to be Hurwitz if the following conditions are satisfied:
1. P(s) is real when s is real.
2. The roots of P(s) have real parts which are zero or negative.
- Note: Here P(s) is any polynomial in s.
Read more about Hurwitz Polynomial: Examples, Properties