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 -