Title :
Robust stability manifolds for multilinear interval systems
Author :
Chapellat, Herve ; Dahleh, Munther ; Bhattacharyya, S.P.
Author_Institution :
Etude et Productions Schlumberger, Clamart, France
fDate :
2/1/1993 12:00:00 AM
Abstract :
The stability of a class of multilinearly perturbed families of systems is considered. It is shown how the problem of checking the stability of the entire family can be reduced to that of checking certain subsets that are independent of the degrees of the polynomials involved. The extremal property of these subsets is established. The results point to the need for a complete study of the stability of manifolds of polynomials composed of products of simple surfaces
Keywords :
polynomials; stability; multilinear interval systems; multilinearly perturbed families of systems; polynomials; robust stability manifolds; Arithmetic; Eigenvalues and eigenfunctions; Feedback; Matrices; Nonlinear equations; Nonlinear systems; Notice of Violation; Riccati equations; Robust stability;
Journal_Title :
Automatic Control, IEEE Transactions on
