Routh Hurwitz Theorem
Versandkostenfrei!
Versandfertig in 6-10 Tagen
22,99 €
inkl. MwSt.
PAYBACK Punkte
11 °P sammeln!
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Routh Hurwitz theorem gives a test to determine whether a given polynomial is Hurwitz-stable. It was proved in 1895 and named after Edward John Routh and Adolf Hurwitz. Let f(z) be a polynomial (with complex coefficients) of degree n with no roots on the imaginary line (i.e. the line Z=ic where i is the imaginary unit and c is a real number). Let us define P0(y) (a polynomial of degree n) and P1(y) (a nonzero polynomial of degree strictly less than n) ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Routh Hurwitz theorem gives a test to determine whether a given polynomial is Hurwitz-stable. It was proved in 1895 and named after Edward John Routh and Adolf Hurwitz. Let f(z) be a polynomial (with complex coefficients) of degree n with no roots on the imaginary line (i.e. the line Z=ic where i is the imaginary unit and c is a real number). Let us define P0(y) (a polynomial of degree n) and P1(y) (a nonzero polynomial of degree strictly less than n) by f(iy) = P0(y) + iP1(y), respectively the real and imaginary parts of f on the imaginary line. We can easily determine a stability criterion using this theorem as it is trivial that f(z) is Hurwitz-stable iff p q = n. We thus obtain conditions on the coefficients of f(z) by imposing w(+ ) = n and w( ) = 0.
