Title :
Expansion of det(A+B) and robustness analysis of uncertain state space systems
Author :
Xu, S.J. ; Darouach, M. ; Schaefers, J.
Author_Institution :
Lab. of Flight Dynamics, Harbin Inst. of Technol., China
fDate :
11/1/1993 12:00:00 AM
Abstract :
In this note, an expansion for the determinant of the sum of two matrices, det(A+B), is given. A robustness analysis approach for state space systems with uncertain parameters is investigated by using Kharitonov´s theorem. Some useful results are obtained. Several illustrative examples are given
Keywords :
control system analysis; determinants; matrix algebra; polynomials; stability; state-space methods; Kharitonov´s theorem; determinant; matrices; robustness analysis; uncertain parameters; uncertain state space systems; Frequency domain analysis; Polynomials; Robustness; Stability; State-space methods; Sufficient conditions; Testing; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
