On an invariant design of feedbacks for bilinear control systems of second order

• Autorzy: Vasiliy Ye. Belozyorov
• Języki publikacji: EN

Abstrakty

EN

The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.

Słowa kluczowe

EN

second order systems; asymptoticstability; bilinear control systems; invariant design

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 2
• Strony: 377-389

Daty

wydano

2001

otrzymano

2000-10-27

poprawiono

2001-04-04

Twórcy

autor

Vasiliy Ye. Belozyorov

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

Bibliografia

• Bellman R. (1976): Introduction to the Theory of Matrices. -Moscow: Nauka, (in Russian).
• Belozyorov V.Ye. and Poddubnaya O.A. (2000): Algebraici analysis of a conditional stability of solutions of quadratic systems of the differential equations. - Problems of Control and Computer Science, No.2, pp.13-23, (inRussian).
• Borisenko S.D. and Kosolapov V.I. et al. (1988): A Stability of Processes for Continuous and Discrete Perturbations. -Kiev: Naukova Dumka, (in Russian).
• Demidovich B.P. (1967): Lectures on the Mathematical Theory of Stability. - Moscow: Nauka, (in Russian).
• Gantmacher F.R. (1990): The Theory of Matrices. - Chelsea: Chelsea PubCo.
• Isidori A. (1995): Nonlinear Control Systems, 3rd Ed. - London: Springer.
• Khalil H. (1995): Nonlinear Systems, 2nd Ed. -New York: Prentice Hall.
• Sibirsky K.S. (1982): Introduction to the Algebraic Theory of Invariants of Differential Equations. - Kishinev: Shtinica, (in Russian).
• Zubov V.I. (1974): Mathematical Methods of Studying Systems of Automatic Control. - Leningrad: Mashinostroyeniye, (in Russian).