Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations

Computers and Mathematics with Applications

Volumn 47, Issue 8-9, 2004, Pages 1201-1209

  Han, Qing Long ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

Linear matrix inequality (LMI); Stability; Time varying delay; Uncertainty

Indexed keywords

INTEGRATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; ROLLING MILLS; STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

DISTRIBUTED DELAY; LINEAR MATRIX INEQUALITY (LMI); MODEL TRANSFORMATION; TIME-VARYING DELAY;

LINEAR SYSTEMS;

EID: 3242890242     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(04)90114-9     Document Type: Article

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. Jamshldi, Time Delay Systems; Analysis, Optimization and Applications, North-Holland, (1987).
3. S.S. Wang, B.S. Chan and T.P. Lin, Robust stability of uncertain time-delay systems, Int. J. Contr. 48, 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. 43, 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. 57, 237-246, (1993).
6. A. Goubet-Batholomeus, M. Dambrine and J.P. Richard Stability of perturbed systems with time-varying delays, Syst. Contr. Lett. 31, 156-163, (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. 81, 359-365, (2000).
8. th IEEE Conf. Decision and Control, pp. 4721-4726, (2001).
9. E. Fridman, New Lyapunov-Krasovskii functional for stability of linear retarded and neutral type systems, Systems Control Lett. 43, 309-319, (2001).
10. K. Gu and S.-I. Niculescu, Additional dynamics In transformed time-delay systems, IEEE Trans. Automat. Contr. 45, 572-575, (2000).
11. th IFAC World Congress (CD), Barcelona, Spain, (July 2002).
12. P. Park, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Trans. Automat. Contr. 44, 876-877, (1999).
13. V.A. Yakubovich, Σ-Procedure in Nonlinear Control Theory, pp. 62-77, Vestnik Leningradskogo Universiteta, Ser. Matematika, (1971).
14. S. Boyd, L. El Ghaoui, E. Peron and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Pennsylvania, (1994).
15. K. Takaba, N. Morihira and T. Katayama, A generalized Lyapunov theorem for descriptor systems, Systems Control Lett. 24, 49-51, (1995).
16. J.-H. Kim, Delay and its time-derivative dependent robust stability of tlmedelayed linear systems with uncertainty, IEEE Trans. Automat. Contr. 46, 789-792 (2001)