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International Journal of Control Volume 81, 2008 - Issue 6
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Original Articles

Lyapunov matrices for a class of neutral type time delay systems

V. L. Kharitonov Automatic Control Department, CINVESTAV-IPN, A.P. 14-740, Mexico, D.F.Correspondence[email protected]
Pages 883-893 | Received 12 Oct 2006, Accepted 13 Mar 2007, Published online: 10 Feb 2011

Citations (23)

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Read on this site (3)

Abraham Canul-Pech & Daniel Melchor-Aguilar. (2023) Lyapunov functionals for linear neutral delay systems in the Hale's form. International Journal of Control 96:4, pages 1000-1013.
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Xiangze Lin, Zhonglin Yang & Shihua Li. (2019) Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays. International Journal of Systems Science 50:9, pages 1703-1717.
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Pierdomenico Pepe & Iasson Karafyllis. (2013) Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form. International Journal of Control 86:2, pages 232-243.
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Articles from other publishers (20)

Alexey Egorov. (2022) Vladimir Kharitonov: Achievements in research. International Journal of Robust and Nonlinear Control 32:6, pages 3101-3125.
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Gilberto Ochoa‐Ortega & Marco A. Gomez. (2021) Critical parameters for a class of integral difference equations. International Journal of Robust and Nonlinear Control 32:6, pages 3141-3151.
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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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A.N. Aliseyko. (2019) Lyapunov matrices for neutral time-delay systems with exponential kernel. Systems & Control Letters 131, pages 104497.
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Jozef Duda. (2017) Lyapunov matrices approach to the parametric optimization of a neutral system with two delays. Mathematics and Computers in Simulation 136, pages 22-35.
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P. Pepe, I. Karafyllis & Z.P. Jiang. (2017) Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale’s form. Systems & Control Letters 102, pages 48-56.
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Jozef Duda. (2016) Lyapunov matrices approach to the parametric optimization of a time delay system with a PI controller. Lyapunov matrices approach to the parametric optimization of a time delay system with a PI controller.
Jozef Duda. (2016) Lyapunov matrices approach to the parametric optimization of a time delay system with a PD controller. Lyapunov matrices approach to the parametric optimization of a time delay system with a PD controller.
Jozef Duda. (2016) A Lyapunov functional for a neutral system with a distributed time delay. Mathematics and Computers in Simulation 119, pages 171-181.
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Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 255 304 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 201 254 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 173 200 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 133 170 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 75 131 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 27 74 .
Vladimir L. KharitonovVladimir L. Kharitonov. 2013. Time-Delay Systems. Time-Delay Systems 3 26 .
Józef Duda. (2012) A Lyapunov functional for a system with a time-varying delay. International Journal of Applied Mathematics and Computer Science 22:2, pages 327-337.
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Vladimir L. Kharitonov. 2012. Time Delay Systems: Methods, Applications and New Trends. Time Delay Systems: Methods, Applications and New Trends 3 17 .
Józef Duda. (2011) Parametric optimization of neutral linear system with two delays with P-controller. Archives of Control Sciences 21:4, pages 363-372.
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Józef Duda. (2010) Lyapunov functional for a linear system with two delays both retarded and neutral type. Archives of Control Sciences 20:1.
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