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Note on stability of discrete-time time-varying delay systems

Note on stability of discrete-time time-varying delay systems

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This note is concerned with the problem of delay-dependent stability for discrete-time systems with time-varying delay. Two novel delay-dependent stability conditions are established by bounding the forward difference of the Lyapunov functional based on the reciprocally convex approach and a scale inequality, respectively. These criteria improve the existing ones with smaller computation burden and less conservatism, which is verified by both theoretical proof and a numerical example.

References

    1. 1)
    2. 2)
      • Briat, C.: `Robust control and observation of LPV time-delay systems', 2008, PhD, Grenoble INP, France.
    3. 3)
    4. 4)
    5. 5)
    6. 6)
      • Zhu, X.L., Yang, G.H.: `Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay', American Control Conf., 2008, Seattle, WA, p. 1644–1649.
    7. 7)
    8. 8)
    9. 9)
      • K. Gu , V.L. Kharitonov , J. Chen . (2003) Stability of time-delay systems.
    10. 10)
    11. 11)
      • Jiang, X., Han, Q., Yu, X.: `Stability criteria for linear discrete-time systems with interval-like time-varying delay', Proc. American Control Conf. 2005, 2005, p. 2817–2822.
    12. 12)
    13. 13)
    14. 14)
      • Gu, K.: `Partial solution of LMI in stability problem of time-delay systems', Proc. 38th IEEE Conf. Decision and Control., 1999, Phoenix, Arizona, p. 227–232.
    15. 15)
    16. 16)
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