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Acta Mathematica Scientia

, Volume 39, Issue 1, pp 195–213 | Cite as

Sampled-Data State Estimation for Neural Networks with Additive Time–Varying Delays

  • M. Syed AliEmail author
  • N. Gunasekaran
  • Jinde Cao (曹进德)
Article

Abstract

In this paper, we consider the problem of delay-dependent stability for state estimation of neural networks with two additive time–varying delay components via sampled-data control. By constructing a suitable Lyapunov–Krasovskii functional with triple and four integral terms and by using Jensen’s inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs) to ensure the asymptotic stability of the equilibrium point of the considered neural networks. Instead of the continuous measurement, the sampled measurement is used to estimate the neuron states, and a sampled-data estimator is constructed. Due to the delay-dependent method, a significant source of conservativeness that could be further reduced lies in the calculation of the time-derivative of the Lyapunov functional. The relationship between the time-varying delay and its upper bound is taken into account when estimating the upper bound of the derivative of Lyapunov functional. As a result, some less conservative stability criteria are established for systems with two successive delay components. Finally, numerical example is given to show the superiority of proposed method.

Key words

Lyapunov method linear matrix inequality state estimation sample-data control time-varying delays 

2010 MR Subject Classification

93C10 93D05 93D00 93D20 

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Copyright information

© Wuhan Institutes of Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  • M. Syed Ali
    • 1
    Email author
  • N. Gunasekaran
    • 2
    • 3
  • Jinde Cao (曹进德)
    • 4
  1. 1.Department of MathematicsThiruvalluvar UniversityVelloreIndia
  2. 2.Department of MathematicsThiruvalluvar UniversityVelloreIndia
  3. 3.Research Center for Wind Energy SystemsKunsan National UniversityKunsan, ChonbukKorea
  4. 4.School of MathematicsSoutheast UniversityNanjingChina

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