TY - JOUR
T1 - A new robust stability test for a class of linear systems with uncertainties and multiple time delays
AU - Li, Tzuu Hseng S.
AU - Lee, Chien Hua
AU - Kung, Fan Chu
N1 - Funding Information:
The authorsw ould like to thank the National Science Council of the Republic of China for the support of this work under grant NSC83-0404-E006-001.
PY - 1994/3
Y1 - 1994/3
N2 - This paper addresses the robust stability problem for the linear multiple time- delay system subjected to nonlinear time-varying perturbations. By means of complex Lyapunov equations, norm and matrix measure inequalities, a new approach is proposed to solve such problems. Several new criteria, delay-dependent or delay-independent, are derived to guarantee the asymptotic stability of the uncertain multiple time-delay systems. The 7stability decaying rate of such systems is also investigated. The main feature of the developed results is that it is not necessary to solve any troublesome Lyapunov equation even though the Lyapunov stability test is used. Furthermore, the generality of these results is assured by comparing with those presented in the literature.
AB - This paper addresses the robust stability problem for the linear multiple time- delay system subjected to nonlinear time-varying perturbations. By means of complex Lyapunov equations, norm and matrix measure inequalities, a new approach is proposed to solve such problems. Several new criteria, delay-dependent or delay-independent, are derived to guarantee the asymptotic stability of the uncertain multiple time-delay systems. The 7stability decaying rate of such systems is also investigated. The main feature of the developed results is that it is not necessary to solve any troublesome Lyapunov equation even though the Lyapunov stability test is used. Furthermore, the generality of these results is assured by comparing with those presented in the literature.
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U2 - 10.1016/0016-0032(94)90026-4
DO - 10.1016/0016-0032(94)90026-4
M3 - Article
AN - SCOPUS:0028383293
SN - 0016-0032
VL - 331
SP - 115
EP - 124
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 2
ER -