Controllability of Nonlinear Discrete Systems

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.

Słowa kluczowe

EN

nonlinear systems; discrete systems; 2D systems; controllability; nonlinear covering operators

PL

system nieliniowy; układ dyskretny; układ 2-D

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 2
• Strony: 173--180
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Klamka J.

• Institute of Automatic Control, Silesian University of Technology ul. Akademicka 16, 44-100 Gliwice, Poland

Bibliografia

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• [3] Kaczorek T. (1993): Linear Control Systems. - New York: Wiley.
• [4] Kaczorek T. (1995): U-reachability and U-controllability of 2- D Roesser model. - Bull. Polish Acad. Sci. Tech. Sci., Vol. 43, No. 1, pp. 31-37.
• [5] Klamka J. (1988a): M-dimensional nonstationary linear discrete systems in Banach spaces. - Proc. 12-th IMACS World Congress, Paris, Vol. 4, pp. 31-33.
• [6] Klamka J. (1988b): Constrained controllability of 2-D linear systems. - Proc. 12-th IMACS World Congress, Paris, Vol. 2, pp. 166-169.
• [7] Klamka J. (1991a): Complete controllability of singular 2-D system. - Proc. 13-th IMACS World Congress, Dublin, pp. 1839-1840.
• [8] Klamka J. (1991b): Controllability of Dynamical Systems. - Dordrecht: Kluwer.
• [9] Klamka J. (1992): Controllability of nonlinear 2-D systems. - Bull. Polish Acad. Sci. Tech. Sci., Vol. 40, No. 2, pp. 125-133.
• [10] Klamka J. (1993): Controllability of dynamical systems-A survey. - Arch. Contr. Sci., Vol. 2, No. 3, pp. 281-307.
• [11] Klamka J. (1994): Constrained controllability of discrete 2-D linear systems. - Proc. IMACS Int. Symp. Signal Processing, Robotics and Neural Networks, Lille, France, pp. 166-169.
• [12] Klamka J. (1995): Constrained controllability of nonlinear systems. - IMA J. Math. Contr. Inf., Vol. 12, No. 2, pp. 245-252.
• [13] Klamka J. (1996): Controllability of 2-D nonlinear systems. — Proc. 2-nd World Congress Nonlinear Analysis, Athens, Greece, pp. 196-199.
• [14] Robinson S.M. (1986): Stability theory for systems of inequalities. Part II: Differentiable nonlinear systems. - SIAM J. Numer. Anal., Vol. 13, No. 4, pp. 1261-1275.