Title :
Robustness analysis of interval matrices based on Kharitonov´s theorem
Author :
Xu, S.J. ; Rachid, A. ; Darouach, M.
Author_Institution :
Aerosp. Sch., Harbin Inst. of Technol., China
fDate :
2/1/1998 12:00:00 AM
Abstract :
This paper deals with the robustness analysis problem of interval matrices. Expansion of det (A+B) is used to get characteristic polynomials of two corresponding systems. Kharitonov´s theorem is applied to test Hurwitz properties of the two polynomials. A new sufficient condition, for all eigenvalues of the interval matrix to lie in a damping-cone on complex plan, is derived. Illustrative examples are given
Keywords :
eigenvalues and eigenfunctions; matrix algebra; polynomials; robust control; uncertain systems; Hurwitz properties; Kharitonov´s theorem; characteristic polynomials; damping-cone; eigenvalues; interval matrices; robustness analysis; sufficient condition; Aerodynamics; Eigenvalues and eigenfunctions; Polynomials; Robust stability; Robustness; Stability analysis; Sufficient conditions; Testing; Transient response; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
