Lyapunov matrices approach to the parametric optimization of a neutral system

• Autorzy: Duda J.

Identyfikatory

DOI

10.1515/acsc-2016-0005

• Języki publikacji: EN

Abstrakty

EN

In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the neutral system. The Lyapunov functional is determined by means of the Lyapunov matrix.

Słowa kluczowe

EN

neutral system; Lyapunov matrix; Lyapunov functional

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2016
• Tom: Vol. 26, no. 1
• Strony: 81--93
• Opis fizyczny: Bibliogr. 16 poz., wzory

Twórcy

autor

Duda J.

• AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

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• [2] J. Duda: Parametric optimization of neutral linear system with respect to the general quadratic performance index. Archiwum Automatyki i Telemechaniki, 33 (1988), 448-456.
• [3] J. Duda: Lyapunov functional for a linear system with two delays. Control and Cybernetics, 39 (2010), 797-809.
• [4] J. Duda: Parametric optimization of neutral linear system with two delays with P-controller. Archives of Control Sciences, 21 (2011), 363-372.
• [5] J. Duda: Lyapunov functional for a linear system with both lumped and distributed delay. Control and Cybernetics, 40 (2011), 73-90.
• [6] J. Duda: Lyapunov functional for a system with a time-varying delay. Int. J. of Applied Mathematics and Computer Science, 22 (2012), 327-337.
• [7] J. Duda: Parametric optimization of a neutral system with two delays and PDcontroller. Archives of Control Sciences, 23 (2013), 131-143.
• [8] J. Duda: A Lyapunov functional for a neutral system with a time-varying delay. Bulletin of the Polish Academy of Sciences Technical Sciences, 61 (2013), 911-918.
• [9] J. Duda: Lyapunov matrices approach to the parametric optimization of timedelay systems. Archives of Control Sciences, 25 (2015), 279-288.
• [10] J. Duda: A Lyapunov functional for a neutral system with a distributed time delay. Mathematics and Computers in Simulation, 119 (2016), 171-181.
• [11] J. Hale and S. Verduyn Lunel: Introduction to Functional Differential Equations. New York: Springer, 1993.
• [12] V. L. Kharionov: Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case. Int. J. of Control, 78 (2005), 783-800.
• [13] V. L. Kharitonov: Lyapunov matrices for a class of neutral type time delay systems. Int. J. of Control, 81 (2008), 883-893.
• [14] V. L. Kharitonov: On the uniqueness of Lyapunov matrices for a time-delay system. Systems & Control Letters, 61 (2012), 397-402.
• [15] Yu. M. Repin: Quadratic Lyapunov functionals for systems with delay. Prikl. Mat. Mekh., 29 (1965), 564-566.
• [16] S. Rodriguez, V. L. Kharitonov, J. Dion and L. Dugard: Robust stability of neutral systems: a Lyapunov-Krasovskii constructive approach. Int. J. of Robust and Nonlinear Control, 14 (2004), 1345-1358.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę