Title :
Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices
Author :
Wang, Kaining ; Michel, Anthony N. ; Liu, Derong
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fDate :
6/1/1994 12:00:00 AM
Abstract :
Establishes a set of new sufficient conditions for the Hurwitz and Schur stability of interval matrices. The authors use these results to establish necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. The authors relate the above results to the existence of quadratic Lyapunov functions for linear time-invariant systems with interval-valued coefficient matrices. Using the above results, the authors develop an algorithm to determine the Hurwitz and the Schur stability properties of interval matrices. The authors demonstrate the applicability of their results by means of two specific examples
Keywords :
Lyapunov methods; linear systems; matrix algebra; Hurwitz stability; Schur stability; interval matrices; linear time-invariant systems; necessary and sufficient conditions; quadratic Lyapunov functions; Eigenvalues and eigenfunctions; Lyapunov method; Stability criteria; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
