TY - JOUR
T1 - On the robustness of stability for uncertain time-delay systems
AU - Lee, Chien Hua
AU - Li, Tzuu Hseng S.
AU - Kung, Fan Chu
N1 - Funding Information:
The authors are grateful to Professor S. S. Wang for his valuable suggestion. The authors would also like to thank the National Science Council of the Republic of China for financial support under Grant NSC83-0404-E006-00.
PY - 1995/2
Y1 - 1995/2
N2 - Based on the Lyapunov stability theorem associated with induced norm of matrix and matrix measure techniques, this paper addresses the robust stability analysis for linear time-delay systems with uncertainties. Several new criteria, expressed by concise inequalities, are presented to guarantee the robust stability and stability with a specified decaying rate for the above systems. Both nonlinear norm-bounded and highly structured parametric uncertainties are discussed. Finally, the superiority of the proposed results is demonstrated in the illustrative examples by comparing with those available in the literature.
AB - Based on the Lyapunov stability theorem associated with induced norm of matrix and matrix measure techniques, this paper addresses the robust stability analysis for linear time-delay systems with uncertainties. Several new criteria, expressed by concise inequalities, are presented to guarantee the robust stability and stability with a specified decaying rate for the above systems. Both nonlinear norm-bounded and highly structured parametric uncertainties are discussed. Finally, the superiority of the proposed results is demonstrated in the illustrative examples by comparing with those available in the literature.
UR - https://www.scopus.com/pages/publications/0029254918
UR - https://www.scopus.com/pages/publications/0029254918#tab=citedBy
U2 - 10.1080/00207729508929045
DO - 10.1080/00207729508929045
M3 - Article
AN - SCOPUS:0029254918
SN - 0020-7721
VL - 26
SP - 457
EP - 465
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 2
ER -