TY - JOUR
T1 - On the robustness of stability for uncertain large-scale systems subjected to multiple time delays
AU - Li, Tzuu Hseng S.
AU - Lee, Chien Hua
AU - Kung, Fan Chu
PY - 1995/9/1
Y1 - 1995/9/1
N2 - The robustness problem of stability for large-scale uncertain systems with a class of multiple time delays is addressed in this paper. By applying the complex Lyapunov stability theorem, the matrix measure techniques, and norm inequalities, a new approach for solving a general case of the above problem is proposed. Several robust stability conditions, delay-dependent or delay-independent, are derived to guarantee the asymptotic stability and exponential stability of the uncertain large-scale time-delay systems. Moreover, these obtained results can also be applied to the stabilization design.
AB - The robustness problem of stability for large-scale uncertain systems with a class of multiple time delays is addressed in this paper. By applying the complex Lyapunov stability theorem, the matrix measure techniques, and norm inequalities, a new approach for solving a general case of the above problem is proposed. Several robust stability conditions, delay-dependent or delay-independent, are derived to guarantee the asymptotic stability and exponential stability of the uncertain large-scale time-delay systems. Moreover, these obtained results can also be applied to the stabilization design.
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U2 - 10.1007/BF01213955
DO - 10.1007/BF01213955
M3 - Article
AN - SCOPUS:0004306211
SN - 0278-081X
VL - 14
SP - 563
EP - 586
JO - Circuits, Systems, and Signal Processing
JF - Circuits, Systems, and Signal Processing
IS - 5
ER -