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Warianty tytułu
Języki publikacji
Abstrakty
The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
Rocznik
Tom
Strony
665--670
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland, busmiko@pb.edu.pl
Bibliografia
- Bhattacharyya, S.P., Chapellat, H. and Keel, L.H. (1995). Robust Control: The Parametric Approach, Prentice Hall, New York, NY.
- Busłowicz, M. (2000). Robust Stability of Dynamical Linear Stationary Systems with Delays, Publishing Department of the Technical University of Białystok, Białystok, (in Polish).
- Busłowicz, M. (2008a). Simple stability conditions for linear positive discrete-time systems with delays, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 325-328.
- Busłowicz, M. (2008b). Simple conditions for robust stability of linear positive discrete-time systems with one delay, Journal of Automation, Mobile Robotics and Intelligent Systems 2(2): 18-22.
- Farina, L. and Rinaldi, S. (2000). Positive Linear Systems; Theory and Applications, J. Wiley, NewYork, NY.
- Górecki, H. and Korytowski, A. (Eds.) (1993). Advances in Optimization and Stability Analysis of Dynamical Systems, Publishing Department of the University of Mining and Metallurgy, Cracow.
- Gu, K., Kharitonov, K.L. and Chen, J. (2003). Stability of Time-Delay Systems, Birkhäuser, Boston, MA.
- Gu, K. and Niculescu, S.I. (2006). Stability Analysis of Timedelay Systems: A Lyapunov Approach, Springer-Verlag, London.
- Hmamed, A., Benzaouia, A., Rami, M.A. and Tadeo, F. (2007). Positive stabilization of discrete-time systems with unknown delay and bounded controls, Proceedings of the European Control Conference, Kos, Greece, pp. 5616-5622, (paper ThD07.3).
- Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
- Kaczorek, T. (2009). Stability of positive continuous-time linear systems with delays, Bulletin of the Polish Academy of Sciences: Technical Sciences 57(4): 395-398.
- Niculescu, S.-I. (2001). Delay Effects on Stability. A Robust Control Approach, Springer-Verlag, London.
- Rami, M.A., Helmke, U. and Tadeo, F. (2007). Positive observation problem for linear positive systems, Proceedings of the Mediterranean Conference on Control and Automation, Athens, Greece, (paper T19-027).
- Wu,M., He.Y., She J.-A., and Liu G.-P. (2004). Delay-dependent criteria for robust stability of time-varying delay systems, Automatica 40(8): 1435-1439.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0060-0016