Title :
The structure of inner matrices that satisfy multiple directional interpolation requirements
Author_Institution :
Dept. of Electron. Syst., Tel-Aviv Univ., Israel
fDate :
12/1/1989 12:00:00 AM
Abstract :
The structure of an inner matrix that satisfies directional interpolation requirements for nondistinct values at the right half-plane is derived explicitly, in closed form, in terms of the interpolation directions. The simple expression that is obtained for the required inner transfer function matrix has the same structure as the one that has already been found for distinct interpolation requirements. As a result, this expression provides a comprehensive treatment, in the frequency domain, of interpolation problems that arise in many areas of linear system optimization
Keywords :
interpolation; matrix algebra; optimisation; frequency domain; inner matrices; linear system; matrix algebra; multiple directional interpolation requirements; nondistinct values; optimization; right half-plane; transfer function matrix; Covariance matrix; Equations; Filtering; Filters; Frequency domain analysis; H infinity control; Interpolation; Linear systems; Poles and zeros; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on