Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays

• Autorzy: Duda J.

Identyfikatory

DOI

10.1515/acsc-2016-0020

• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

time-delay 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. 3
• Strony: 367--381
• Opis fizyczny: Bibliogr. 14 poz., wykr., wzory

Twórcy

autor

Duda J.

• AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Krakow, Poland

Bibliografia

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• [2] J. Duda: Lyapunov functional for a linear system with two delays. Control and Cybernetics, 39 (2010), 797-809.
• [3] J. Duda: Lyapunov functional for a system with k-non-commensurate neutral time delays. Control and Cybernetics, 39 (2010), 1173-1184.
• [4] J. Duda: Lyapunov functional for a system with a time-varying delay. Int. J. of Applied Mathematics and Computer Science, 22 (2012), 327-337.
• [5] 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.
• [6] J. Duda: Lyapunov matrices approach to the parametric optimization of time-delay systems. Archives of Control Sciences, 25 (2015), 279-288.
• [7] J. Duda: A Lyapunov functional for a neutral system with a distributed time delay. Mathematics and Computers in Simulation, 119 (2016), 171-181.
• [8] J. Duda: Lyapunov matrices approach to the parametric optimization of a neutral system. Archives of Control Sciences, 26 (2016), 81-93.
• [9] H. Górecki, S. Fuksa, P. Grabowski, A. Korytowski: Analysis and Synthesis of Time Delay Systems. John Wiley & Sons. Chichester, New York, Brisbane, Toronto, Singapore 1989.
• [10] V. L. Kharitonov: Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case. Int. J. of Control, 78 (2005), 783-800.
• [11] V. L. Kharitonov: Lyapunov matrices for a class of neutral type time delay systems. Int. J. of Control, 81 (2008), 883-893.
• [12] V. L. Kharitonov: On the uniqueness of Lyapunov matrices for a time-delay system. Systems & Control Letters, 61 (2012), 397-402.
• [13] Yu. M. Repin: Quadratic Lyapunov functionals for systems with delay. Prikl. Mat. Mekh., 29 (1965), 564-566.
• [14] S. Rodriguez, V. L. Kharitonov, J. Dion, 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