Design of linear feedback for bilinear control systems

• Autorzy: Belozyorov V. Y.
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.

Słowa kluczowe

EN

system of ordinary quadratic differential equations; bilinear control system; linear control law; cone of stability; feedback; closed-loop system

PL

równanie różniczkowe; układ sterowania dwuliniowy; układ zamknięty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 4
• Strony: 493--511
• Opis fizyczny: Bibliogr. 7 poz., wykr.

Twórcy

autor

Belozyorov V. Y.

• Dnepropetrovsk National University, Physical and Technical Department, ul. Naukova, 13, 49050, Dnepropetrovsk, Ukraine

Bibliografia

• [1] Belozyorov V.Ye. (2001): On an invariant design of feedback for bilinear control systems of second order. - Int. J. Appl. Math. Comp. Sci., Vol. 11, No. 2, pp. 377-389.
• [2] Bowen J.H. and Masters E.F.O. (1959): Nuclear Reactor Control and Instrumentation. - London: Temple Press Limited.
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• [4] Demidovich B.P. and Maron I.A. (1966): Fundamentals of Computational Mathematics. - Moscow: Nauka, (in Russian).
• [5] Gantmacher F.R. (1990): Theory of Matrices. - Chelsea: Chelsea Pub Co.
• [6] Fulton W. (1984): Intersection Theory. - Berlin: Springer.
• [7] Khalil H. (1995): Nonlinear Systems, 2nd Ed. - New-York: Prentice Hall.