Real and complex stability radii of polynomial matrices

نویسنده

  • Y. Genin
چکیده

In this paper, analytic expressions are derived for the complex and real stability radii of non-monic polynomial matrices with respect to an arbitrary stability region of the complex plane. Numerical issues for computing these radii for different perturbation structures are also considered with application to robust stability of Hurwitz and Schur polynomial matrices.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Explicit formulae for stability radii of positive polynomial matrices

In this paper we study stability radii of positive polynomial matrices under affine perturbations of the coefficient matrices. It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples.

متن کامل

Stability radii of higher order positive difference systems

In this paper we study stability radii of positive polynomial matrices under a2ne perturbations of the coe2cient matrices. 9 It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples. 11 c © 2003 Published by Elsevier Science B.V.

متن کامل

Stability radii of polynomial matrices

which are square invertible and have zeros – i.e. roots of detP (λ) – inside a given region Γ. We say that P (λ) is Γ-stable and call Γ the stability region. The complex stability radius rC of such polynomial matrices is the norm of the smallest perturbation ∆P (λ) . = ∆P0 +∆P1λ+ · · ·∆Pkλ k needed to “destabilize” P (λ) + ∆P (λ) and hence causing at least one zero of P (λ) + ∆P (λ) to leave th...

متن کامل

Some Results on Polynomial Numerical Hulls of Perturbed Matrices

In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.

متن کامل

Upper and lower bounds for numerical radii of block shifts

For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007