TY - JOUR
T1 - STABILITY ROBUSTNESS ANALYSIS FOR STATE SPACE MODELS.
AU - Juang, Yau Tarng
AU - Kuo, Te Son
AU - Hsu, Chen Fa
PY - 1986
Y1 - 1986
N2 - Asymptotically stable linear time-invariant systems under perturbations are considered and analyzed for stability robustness. Based on continuously perturbing the state matrix, instead of solving the Lyapunov equation, an elegant stability robustness condition is derived. Subsequently, the allowable norm bound for the error matrix is obtained under weakly structured perturbations, and the magnitude bounds on the individual elements of the error matrix are obtained under highly structured perturbations. The concept that the perturbed state matrix would actually depend on the operating frequencies is introduced. The merits of the theorems are demonstrated by two examples, and the results are much better than those published in the literature.
AB - Asymptotically stable linear time-invariant systems under perturbations are considered and analyzed for stability robustness. Based on continuously perturbing the state matrix, instead of solving the Lyapunov equation, an elegant stability robustness condition is derived. Subsequently, the allowable norm bound for the error matrix is obtained under weakly structured perturbations, and the magnitude bounds on the individual elements of the error matrix are obtained under highly structured perturbations. The concept that the perturbed state matrix would actually depend on the operating frequencies is introduced. The merits of the theorems are demonstrated by two examples, and the results are much better than those published in the literature.
UR - http://www.scopus.com/inward/record.url?scp=0023012577&partnerID=8YFLogxK
U2 - 10.1109/cdc.1986.267454
DO - 10.1109/cdc.1986.267454
M3 - 會議論文
AN - SCOPUS:0023012577
SN - 0191-2216
SP - 745
EP - 750
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -