Title :
Robust stability of linear time invariant systems represented by an interval matrix
Author :
Delgado-Romero, Juan José Darío ; González-Garza, Rodolfo Serafin ; Hernández-Morales, Eduardo ; Delgado-Romero, Germán
Author_Institution :
Inst. Tecnologico de Morelia, Mexico
Abstract :
We describe sufficient conditions to guarantee the robust stability of a continuous linear time invariant system and the stability of a discrete linear time invariant system. The systems contain parametric uncertainty which is represented by an interval matrix. We have to know only the bound α (for continuous systems) and the dependency of the Hermitian parts of C0 and D matrices. The bound β (for the discrete case) depends on the Hermitian and skew-Hermitian parts of C0 and D
Keywords :
Hermitian matrices; continuous time systems; discrete time systems; linear systems; robust control; Hermitian; discrete linear time invariant system; interval matrix; linear time invariant systems; parametric uncertainty; robust stability; skew-Hermitian; sufficient conditions; Continuous time systems; Control systems; Eigenvalues and eigenfunctions; Robust control; Robust stability; Sufficient conditions; Testing; Time invariant systems; Uncertainty;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.626664