Robust stability analysis of linear systems with time-varying delay and nonlinear perturbations

2004 5th Asian Control Conference

Volumn 3, Issue , 2004, Pages 2012-2019

  Han, Qing Long ^a   Yu, Li ^b   Yu, Xinghuo ^c   Yue, Dong ^a   Ma, Xin ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

^b ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^c RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL PROCESSING; UNCERTAIN SYSTEMS;

INTEGRAL INEQUALITY; MODEL TRANSFORMATION; NONLINEAR PERTURBATION; SIGNAL TRANSMISSION;

LINEAR SYSTEMS;

EID: 16244410832     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. J. K. Hale, and S. M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993.
2. M. Malek-Zavarei, and M. Jamshidi, Time Delay Systems: Analysis, Optimization and Applications, North-Holland, 1987.
3. S. S. Wang, B. S. Chen, and T. P. Lin, Robust stability of uncertain time-delay systems, Int. J. Contr., Vol 46, pp. 963-976, 1987.
4. S.-I. Niculescu, C. E. de Souza, L. Dugard, and J.-M. Dion, Robust exponential stability of uncertain systems with time-varying delays, IEEE Trans. Automat. Contr., Vol 43, pp. 743-748, 1998.
5. K.-K. Shyu, and J.-J. Yan, Robust stability of uncertain time-delay systems and its stabilization by variable structure control, Int. J. Contr., Vol 57, pp. 237-246, 1993.
6. A. Goubet-Batholomeus, M. Dambrine and J. P. Richard, Stability of perturbed systems with time-varying delays, Syst. Contr. Lett., Vol 31, pp. 155-163, 1997.
7. Y.-Y. Cao and J. Lam, Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations, Int. J. Systems Sci., Vol 31, pp. 359-365, 2000.
8. th IEEE Conf. Decision and Control, pp. 4721-4726, 2001.
9. E. Fridman, New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Systems Control Lett., Vol 43, pp. 309-319, 2001.
10. K. Gu, and S.-I. Niculescu, Additional dynamics in transformed time-delay systems, IEEE Trans. Automat. Contr., Vol 45, pp. 572-575, 2000.
11. th IFAC World Congress (CD), July 2002, Barcelona, Spain.
12. P. Park, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Trans. Automat. Contr, Vol 44, pp. 876-877, 1999.
13. V. A. Yakubovich, S-procedure in nonlinear control theory, Vestnik Leningradskogo Universiteta, Ser. Matematika, pp. 62-77, 1971.
14. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, 1994.
15. K. Takaba, N. Morihira, and T. Katayama, A generalized Lyapunov theorem for descriptor systems, Systems Control Lett., Vol 24, pp. 49-51, 1995.
16. J.-H. Kim, Delay and its time-derivative dependent robust stability of timedelayed linear systems with uncertainty, IEEE Trans. Automat. Contr., Vol 46, pp. 789-792, 2001.