Lyapunov matrices approach to the parametric optimization of time-delay systems

• Autorzy: Duda J.

Identyfikatory

DOI

10.1515/acsc-2015-0018

• Języki publikacji: EN

Abstrakty

EN

In the paper a Lyapunov matrices approach to the parametric optimization problem of timedelay systems 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 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: 2015
• Tom: Vol. 25, no. 3
• Strony: 279--288
• Opis fizyczny: Bibliogr. 7 poz., tab., wzory

Twórcy

autor

Duda J.

• AGH University of Science and Technology, Krakow, Poland

Bibliografia

• [1] R. Bellman and K. Cooke: Differential-difference Equations. New York, Academic Press, 1963.
• [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 (in Polish).
• [3] J. Duda: Parametric optimization of neutral linear system with two delays with P-controller. Archives of Control Sciences, 21 (2011), 363-372.
• [4] J. Duda: Parametric optimization of a neutral system with two delays and PDcontroller. Archives of Control Sciences, 23 (2013), 131-143.
• [5] V. L. Kharitonov and A. P. Zhabko: Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems. Automatica, 39 (2003), 15-20.
• [6] N. Krasnovoskii: On the application of the second method of Lyapunov for equations with time delay. Prikladnaya Matematika i Mekhanika, 20 (1956), 315-327, (in Russian).
• [7] Y. M. Repin: Quadratic Lyapunov functionals for systems with delay. Prikladnaya Matematika i Mekhanika, 29 (1965), 564-566, (in Russian).