Title :
Improved measures of stability robustness for linear state space models
Author :
Yedavalli, Rama Krishna
Author_Institution :
Stevens Institute of Technology, Hoboken, NJ, USA
fDate :
6/1/1985 12:00:00 AM
Abstract :
In this paper, the aspect of "stability robustness" of linear systems is analyzed in the time domain. A bound on the structured perturbation of an asymptotically stable linear system is obtained to maintain stability using a Lyapunov matrix equation solution. The resulting bound is shown to be an improved bound over the ones recently reported in the literature. Also, special cases of the nominal system matrix are considered, for which the bound is given in terms of the nominal matrix, thereby, avoiding the solution of the Lyapunov matrix equation. Examples given include comparison of the proposed approach with the recently reported results.
Keywords :
Asymptotic stability, linear systems; Robustness, linear systems; Transient analysis; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Linear systems; Robust stability; Robustness; Stability analysis; State-space methods; Symmetric matrices; Time domain analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103996