Title :
Perturbation bounds for orthogonal canonical forms and numerical controllability analysis
Author_Institution :
Dept. of Autom., Tech. Univ. of Sofia, Bulgaria
fDate :
4/1/1993 12:00:00 AM
Abstract :
A first-order perturbation analysis of the orthogonal canonical forms of linear multivariable systems is presented. To avoid ill posedness, a numerical system structure which is invariant to small perturbations in the data is defined. It is shown that the orthogonal canonical forms may be, like the system controllability matrix, unreliable as a tool for numerical controllability analysis
Keywords :
controllability; multivariable control systems; first-order perturbation analysis; ill-posed systems; linear multivariable systems; numerical controllability analysis; orthogonal canonical forms; perturbation bounds; system controllability matrix; Automatic control; Control system analysis; Control system synthesis; Controllability; Eigenvalues and eigenfunctions; Feedback; Linear systems; MIMO; Performance analysis; Robust stability;
Journal_Title :
Automatic Control, IEEE Transactions on
