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Observer-based finite-time dissipativity for parabolic systems with time-varying delays

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  • Mathiyalagan, K.
  • Ragul, R.

Abstract

In this paper, an observer based dissipativity analysis for dynamical systems governed by partial differential equations (PDEs) of parabolic type is investigated. A second order PDEs with time-varying delays and external disturbances is considered. By constructing an appropriate Lyapunov-Krasovskii functional (LKF), a new set of sufficient conditions are obtained to guarantee the considered system is finite-time bounded (FTB) and finite-time extended dissipative (FTED). The observer based feedback controller design and dissipativity results are derived using the singular value decomposition (SVD) and linear matrix inequalities (LMIs). Finally, the results are verified with numerical example.

Suggested Citation

  • Mathiyalagan, K. & Ragul, R., 2022. "Observer-based finite-time dissipativity for parabolic systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    • Handle: RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321006895
    DOI: 10.1016/j.amc.2021.126605
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    References listed on IDEAS

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    Cited by:

    1. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Yu, Zhefeng & Zhao, Feng & Ding, Shihong & Chen, Xiangyong, 2022. "Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    3. Wang, Xin & Zhuang, Guangming & Chen, Guoliang & Ma, Qian & Lu, Junwei, 2022. "Asynchronous mixed H∞ and passive control for fuzzy singular delayed Markovian jump system via hidden Markovian model mechanism," Applied Mathematics and Computation, Elsevier, vol. 429(C).

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