A note on the Li\'{e}nard-Chipart criterion and roots of some families   of polynomials
  We present some inequalities that provide different sufficient conditions for an univariate monic polynomial to be Hurwitz unstable. These are motivated by difficult control problems where direct application of the Li\'enard-Chipart criterion is not feasible. Hurwitz stability of some polynomials of degree five is also discussed. These results may be interpreted as stability results for some interval polynomials. 
Renato B. Bortolatto
math.DS