Hurwitz matrix
A square matrix is called a Hurwitz matrix if all eigenvalues of have strictly negative real part, ; is also called a stability matrix, because the feedback system
is stable.
If is a (matrix-valued) transfer function, then is called Hurwitz if the poles of all elements of have negative real part. Note that it is not necessary that , for a specific argument , be a Hurwitz matrix — it need not even be square. The connection is that if is a Hurwitz matrix, then the dynamical system
has a Hurwitz transfer function.
Reference: Hassan K. Khalil, Nonlinear Systems, Prentice Hall, 2002
Title | Hurwitz matrix |
---|---|
Canonical name | HurwitzMatrix |
Date of creation | 2013-03-22 14:02:45 |
Last modified on | 2013-03-22 14:02:45 |
Owner | lha (3057) |
Last modified by | lha (3057) |
Numerical id | 4 |
Author | lha (3057) |
Entry type | Definition |
Classification | msc 93D99 |
Defines | Hurwitz transfer function |
Defines | stability matrix |