Robust stability of linear neutral systems with nonlinear parameter perturbations

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Robust stability of linear neutral systems with nonlinear parameter perturbations

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The robust stability of uncertain linear neutral systems with time-varying discrete and neutral delays is investigated. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. Both delay-dependent and delay-derivative-dependent stability criteria are proposed and are formulated in the form of linear matrix inequalities. The presented results contain some existing results as their special cases. Numerical examples are also given to indicate significant improvements over existing results.

Inspec keywords: robust control; delays; time-varying systems; nonlinear control systems; discrete time systems; linear matrix inequalities; perturbation techniques; linear systems; uncertain systems; stability criteria

Other keywords: norm bounded uncertainties; linear matrix inequalities; delay derivative dependent stability criteria; time varying discrete delays; robust stability; neutral delays; nonlinear parameter perturbation; uncertain linear neutral system

Subjects: Stability in control theory; Distributed parameter control systems; Linear algebra (numerical analysis); Nonlinear control systems; Discrete control systems; Time-varying control systems

References

    1. 1)
    2. 2)
      • Y. Kuang . (1993) Delay differential equations with applications in population dynamics, Mathemathics in Science and Enginering.
    3. 3)
      • Q.-L. Han . On robust stability for a class of linear systems with time-varying delay and nonlinear perturbations. Comput. Math. Appl.-An International Journal , 1201 - 1209
    4. 4)
      • P. Gahinet , A. Nemirovski , A.J. Laub , M. Chilali . (1995) LMI control toolbox: for use with MATLAB.
    5. 5)
      • R.K. Brayton . Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type. Q. Appl. Math. , 215 - 224
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
      • A. Goubet-Batholomeus , M. Dambrine , J.P. Richard . Stability of perturbed systems with time-varying delays. Syst. Control Lett. , 155 - 163
    11. 11)
    12. 12)
      • Kharitonov, V.L., Melchor-Aguilar, D.: `Additional dynamics for time-varying systems with delay', Proc. 40th IEEE Conf. on Decision and Control, 2001, p. 4721–4726.
    13. 13)
      • S.S. Wang , B.S. Chen , T.P. Lin . Robust stability of uncertain time-delay systems. Int. J. Control , 963 - 976
    14. 14)
      • V.A. Yakubovich . S-procedure in nonlinear control theory. Vestn. Leningr. Univ. 1, Mat. Mekh. , 62 - 77
    15. 15)
      • J. Hale , Verduyn , S.M. Lunel . (1993) Introduction to functional differential equations.
    16. 16)
    17. 17)
    18. 18)
      • V.B. Kolmanovskii , A. Myshkis . (1992) Applied theory of functional differential equations.
    19. 19)
      • Q.-L. Han . On delay-dependent stability for neutral delay-differential systems. Int. J. Appl. Math. Comput. Sci. , 965 - 976
    20. 20)
    21. 21)
      • E.-I. Verriest , S.-I. Niculescu , L. Dugard , E.I. Verriest . (1997) Delay-independent stability of linear neutral systems: a Riccati equation approach, Stability and control of time-delay systems.
    22. 22)
    23. 23)
      • S. Boyd , L.El. Ghaoui , E. Feron , V. Balakrishnan . Linear matrix inequalities in systems and control theory. Stud. Appl. Math.
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