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International Journal of Control Volume 91, 2018 - Issue 11: Special Issue dedicated to Alexander Poznyak on the occasion of his 70th birthday GUEST Editors Vladimir Kharitonov & Vadim Utkin
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Original Articles

Approximation of delay Lyapunov matrices

A. V. EgorovDepartment of Control Theory, St. Petersburg State University, St. Petersburg, RussiaCorrespondence[email protected]
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V. L. KharitonovDepartment of Control Theory, St. Petersburg State University, St. Petersburg, RussiaView further author information
Pages 2588-2596 | Received 17 Apr 2016, Accepted 03 Dec 2016, Published online: 03 Jan 2017

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Zhe Zhang, Bin Zhou & Wim Michiels. (2021) Pseudo predictor feedback stabilisation of linear systems with both state and input delays. International Journal of Control 94:11, pages 3135-3145.
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Articles from other publishers (14)

Marco A. Gomez & Sabine Mondié. (2024) Complete type functional approach to input to state stability of time-delay systems. Systems & Control Letters 186, pages 105761.
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Mathieu Bajodek, Frédéric Gouaisbaut & Alexandre Seuret. (2023) Necessary and Sufficient Stability Condition for Time-Delay Systems Arising From Legendre Approximation. IEEE Transactions on Automatic Control 68:10, pages 6262-6269.
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Dmitry A. Kudryakov & Irina V. Alexandrova. (2023) A new stability criterion and its application to robust stability analysis for linear systems with distributed delays. Automatica 152, pages 110973.
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Alexey Aliseyko. (2022) Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems. International Journal of Robust and Nonlinear Control 32:6, pages 3126-3140.
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Alexey Egorov. (2022) Vladimir Kharitonov: Achievements in research. International Journal of Robust and Nonlinear Control 32:6, pages 3101-3125.
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Sabine Mondié, Alexey Egorov & Marco A. Gomez. (2022) Lyapunov stability tests for linear time-delay systems. Annual Reviews in Control 54, pages 68-80.
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Irina Alexandrova & Sabine Mondié. 2022. Stability and Control Processes. Stability and Control Processes 73 80 .
Irina V. Alexandrova & Sabine Mondié. (2021) Necessary stability conditions for linear systems with incommensurate delays. Automatica 129, pages 109628.
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Alexey Egorov. (2020) An Improved Lyapunov Stability Test for Linear Time-Delay Systems. An Improved Lyapunov Stability Test for Linear Time-Delay Systems.
Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos & Edgar Cristian Díaz-González. (2020) A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications. Complexity 2020, pages 1-26.
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Marco A. Gomez, Alexey V. Egorov & Sabine Mondié. (2019) Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems. Automatica 108, pages 108475.
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Marco A. Gomez & Wim Michiels. (2019) Characterization and optimization of the smoothed spectral abscissa for time‐delay systems. International Journal of Robust and Nonlinear Control 29:13, pages 4402-4418.
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Marco A. Gomez, Wim Michiels & Sabine Mondié. (2019) Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix. Automatica 107, pages 146-153.
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Sabine Mondié, Alexey V. Egorov & Marco A. Gomez. (2018) Stability conditions for time delay systems in terms of the Lyapunov matrix. IFAC-PapersOnLine 51:14, pages 136-141.
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