New Results on the Parametrization of J-spectral Factors

نویسندگان

  • S. Weiland
  • A. Gombani
چکیده

This paper considers a parametrization of a class of J spectral factors of a given J spectral density. The notion of J stable functions is introduced to define a partial ordering on the set of J spectral factors. Necessary and sufficient conditions for the existence of extremal J spectral factors are given and a number of explicit factorization results is derived which serve for the algorithmic aspects of computing specific J spectral factors.

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

Parametrization of Pedestrian Injuries and its Utilisation in Proving Traffic Accidents Course Using Injury Signatures and Contact Signatures

Background: The paper points out the present limited possibility of using the verbal description of injuries for the needs of experts from the field of road transportation as relevant criminalistics traces, as well as the options of the FORTIS system that creates a new area for a deeper interdisciplinary approach in the field of expert evidence. Further a description of how to create injury si...

متن کامل

A Parametrization of the Minimal Square Spectral Factors of a Nonrational Spectral Density

Given a nonrational spectral density, minimality for square spectral factors with singularities in both the left and the right half planes is de ned. A parametrization of all minimal square spectral factors is then provided in terms of left inner divisors of a certain inner function depending only on the spectral density. Some results on matrix inner functions and minor complements on the Lindq...

متن کامل

J-spectral factorization for rational matrix functions with alternative realization

In this paper, recent results by Petersen and Ran on the J-spectral factorization problem to rational matrix functions with constant signature that are not necessarily analytic at infinity are extended. In particular, a full parametrization of all J̃-spectral factors that have the same pole pair as a given square J-spectral factor is given. In this case a special realization involving a quintet ...

متن کامل

Ela J-spectral Factorization for Rational Matrix Functions with Alternative Realization∗

In this paper, recent results by Petersen and Ran on the J-spectral factorization problem to rational matrix functions with constant signature that are not necessarily analytic at infinity are extended. In particular, a full parametrization of all J̃-spectral factors that have the same pole pair as a given square J-spectral factor is given. In this case a special realization involving a quintet ...

متن کامل

DETERMINATION OF ATTENUATION RELATIONSHIPS USING AN OPTIMIZATION PROBLEM

The main objective of this study is to present new method on the basis of genetic algorithms for attenuation relationship determination of horizontal peak ground acceleration and spectral acceleration. The proposed method employs the optimization capabilities of genetic algorithm to determine the coefficients of attenuation relationships of peak ground and spectral accelerations. This method ha...

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 2002