Skip to main content
Have a personal or library account? Click to login
A Lyapunov functional for a system with a time-varying delay Cover
By:   
Open Access
|Jun 2012

References

  1. Duda, J. (1986)., Ph.D. thesis, AGH University of Science and Technology, Cracow.
  2. Duda, J. (1988). Parametric optimization of neutral linear system with respect to the general quadratic performance index,(3): 448-456.
  3. Duda, J. (2010a). Lyapunov functional for a linear system with two delays,(3): 797-809.
  4. Duda, J. (2010b). Lyapunov functional for a linear system with two delays both retarded and neutral type,(LVI): 89-98.
  5. Fridman, E. (2001). New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems,(4): 309-319.
  6. Górecki, H., Fuksa, S., Grabowski, P., Korytowski, A. (1989)., John Wiley & Sons, Chichester/New York, NY/Brisbane/Toronto/Singapore.
  7. Gu, K. (1997). Discretized LMI set in the stability problem of linear time delay systems,(4): 923-934.
  8. Gu, K. and Liu, Y. (2009). Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations,(3): 798-804.
  9. Han, Q. L. (2004). On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty,(6): 1087-1092.
  10. Han, Q. L. (2004). A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays,(10): 1791-1796.
  11. Han, Q. L. (2005). On stability of linear neutral systems with mixed time delays: A discretised Lyapunov functional approach,(7): 1209-1218.
  12. Han, Q. L. (2009). A discrete delay decomposition approach to stability of linear retarded and neutral systems,(2): 517-524.
  13. Infante, E. F. and Castelan, W. B. (1978). A Lyapunov functional for a matrix difference-differential equation,: 439-451.
  14. Ivanescu, D., Niculescu, S. I., Dugard, L., Dion, J. M. and Verriest, E. I. (2003). On delay-dependent stability for linear neutral systems,(2): 255-261.
  15. Kharitonov, V. L. (2005). Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: A single delay case,(11): 783-800.
  16. Kharitonov, V. L. (2008). Lyapunov matrices for a class of neutral type time delay systems,(6): 883-893.
  17. Kharitonov, V. L. and Hinrichsen, D. (2004). Exponential estimates for time delay systems,(5): 395-405.
  18. Kharitonov, V. L. and Plischke, E. (2006). Lyapunov matrices for time-delay systems,(9): 697-706.
  19. Kharitonov, V. L., Zhabko, A. P. (2003). Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems,(1): 15-20.
  20. Klamka, J. (1991)., Kluwer Academic Publishers, Dordrecht.
  21. Repin, Yu. M. (1965). Quadratic Lyapunov functionals for systems with delay,: 564-566.
  22. Respondek, J. S. (2008). Approximate controllability of the-th order infinite dimensional systems with controls delayed by the control devices,(8): 765-782.
  23. Richard, J. P. (2003). Time-delay systems: An overview of some recent advances and open problems,(10): 1667-1694.
  24. Wang, D., Wang, W. and Shi, P. (2009). Exponential H-infinity filtering for switched linear systems with interval time-varying delay,(5): 532-551.
DOI: https://doi.org/10.2478/v10006-012-0024-7 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 327 - 337
Published on: Jun 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2012 Józef Duda, published by University of Zielona Góra
This work is licensed under the Creative Commons License.