An algebraic approach to linear-quadratic optimization of second order dynamical systems

• Autorzy: Respondek J.
• Języki publikacji: EN

Słowa kluczowe

EN

linear quadratic optimization; spectral theory; Riccati equation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2007
• Tom: Vol. 17, no. 1
• Strony: 105--116
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Respondek J.

• Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland,

Bibliografia

• [1] R. BELLMAN:Introduction to matrix analysis. Mcgraw-Hill Book Company, New York, 1960.
• [2] S. BITTANTI, A. LAUB and J. WILLEMS (EDS): The Riccati equation. Springer Verlag, New York, 1991.
• [3] P. DORATO, C. H. ABDALLAII and V. CERONE: Linear-quadratic control. An introduction. Prentice Hall, New Jersey, 1995.
• [4] T. KACZOREK: Vectors and matrices in automation and electrotechnics. WNT, Warsaw, 1998 (in Polish).
• [5] J. KLAMKA: Controllability of dynamical systems. Kluwer, Dordrecht, 1991.
• [6] W. MITKOWSKI: Stabilisation of dynamic systems. WNT, Warszawa, 1991, (in Polish).
• [7] J. RESPONDEK: Controllability of dynamical systems with constraints. Systems &Control Letters, 54(4) (2005), 293-314.
• [8] J. RESPONDEK: Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems. Int. of Control, 78(13/10), (2005), 1017-1030.