# Design of linear feedback for bilinear control systems

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 4, page 493-511
- ISSN: 1641-876X

## Access Full Article

top## Abstract

top## How to cite

topBelozyorov, Vasiliy. "Design of linear feedback for bilinear control systems." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 493-511. <http://eudml.org/doc/207605>.

@article{Belozyorov2002,

abstract = {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.},

author = {Belozyorov, Vasiliy},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {cone of stability; bilinear control system; linear control law; closed-loop system; feedback; system of ordinary quadratic differential equations},

language = {eng},

number = {4},

pages = {493-511},

title = {Design of linear feedback for bilinear control systems},

url = {http://eudml.org/doc/207605},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Belozyorov, Vasiliy

TI - Design of linear feedback for bilinear control systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 4

SP - 493

EP - 511

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/207605

ER -

## References

top- 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. Zbl1073.93526
- Bowen J.H. and Masters E.F.O. (1959): Nuclear Reactor Control and Instrumentation. - London: Temple Press Limited.
- Demidovich B.P. (1967): Lectures on the Mathematical Theory of Stability. - Moscow: Nauka, (in Russian). Zbl0155.41601
- Demidovich B.P. and Maron I.A. (1966): Fundamentals of Computational Mathematics. - Moscow: Nauka, (in Russian).
- Gantmacher F.R. (1990): Theory of Matrices. -Chelsea: Chelsea Pub Co. Zbl0085.01001
- Fulton W. (1984): Intersection Theory. - Berlin: Springer. Zbl0541.14005
- Khalil H. (1995): Nonlinear Systems, 2nd Ed. - New-York: Prentice Hall.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.