Title :
Robust stability of the convex-hull of matrices using the polar decomposition
Author :
Collado, Joaqdn ; Lozano, Rogelio
Author_Institution :
Fac. de ingenieria Mec. y Eletrica, Univ. AUtonoma de Nuevo Leon, San Nicolas de los Garza, Mexico
Abstract :
We proposed two new results of robust stability of families of matrices with uncertainty in its entries. The results are based on the polar decomposition and a novel sufficient condition for the stability of a given matrix, i.e., a matrix is stable if the unitarian matrix in the polar decomposition is stable. Some examples illustrate the results
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; state-space methods; topology; Lyapunov equations; Lyapunov method; convex-hull; eigenvalues; linear time invariant systems; matrix algebra; polar decomposition; robust stability; state space; sufficient condition; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Matrix decomposition; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Time invariant systems; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.877039
