Title :
The structure of all-pass matrices that satisfy directional interpolation requirements
Author :
Auba, T. ; Funahashi, Y.
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
12/1/1991 12:00:00 AM
Abstract :
All-pass matrices are considered which are permitted to have right-half plane (RHP) poles less than some specified number. This is an extension of the inner interpolation problem where no RHP poles are permitted. All-pass matrices which satisfy the directional interpolation requirements are obtained in closed form. The simple derivation provides an insight into the mechanism by which the interpolation requirements impose the ∞-norm restriction under the number condition of half plane poles
Keywords :
interpolation; matrix algebra; optimisation; ∞-norm optimisation; ∞-norm restriction; all-pass matrices; directional interpolation requirements; right-half plane poles; Automatic control; Control systems; Educational institutions; Feedback; Interpolation; Linear algebra; Linear systems; Matrices; Polynomials; Solvents;
Journal_Title :
Automatic Control, IEEE Transactions on
