Proyecciones
Vol. 24, No 2, pp. 167-173, August 2005.
Universidad Católica del Norte
Antofagasta - Chile

STRATEGY FOR TO STABILIZE NON LINEAR SYSTEMS THROUGH DIRECTIONAL CONTROLS*

VÍCTOR DELGADO

Universidad Austral de Chile.

Correspondencia a :

ABSTRACT

For a non linear system, with an isolated and non asymptotically stable equilibrium point, we had obtained a control strategy which disturb the system so that the dynamic move locally towards the equilibrium point. We consider the linearization of the system and feedback directional controls.

KEYWORKS : Linearly equivalent systems, directional feedback controls.

REFERENCES

[1] Balachandran-Dauer, Controllability of Nonlinear Systems to Affine Manifolds, J. Optim.Th. and Appl., Vol 64 #1, pp. 15-27, (1990)        [ Links ]

[2] Beltrami E., Mathematics for Dynamic Modelling, Academic Press, Inc. (1987).        [ Links ]

[3] Chukwu, E. N., Total Controllability to Affine Manifolds of Control Systems, J. Optim. Th. and Appl., Vol # 42, pp. 181-199, (1864).        [ Links ]

[4] Delgado V., Equivalencia lineal de Sistemas de Control y su interpretación en algunos modelos biomatemáticos, Memoria VII Congr. Internacional de Biomat. pp. 72-79 Buenos Aires, (1995).        [ Links ]

[5] Delgado V., Estabilización del modelo poblacional de May a través de controles direccionales, Rev. Mat. Th. y Apl., Cimpa, UCR, Vol 8 # 2, pp. 79-83, (2001).        [ Links ]

[6] Lee E. B., Markus L., Foundations of Optimal Control Theory, Longman Scientific, Technical, (1988).        [ Links ]

Received : June 2004. Accepted : August 2005

*Supported by Dirección de Investigación U. Austral de Chile, Proyecto 200064.

Víctor Delgado

Instituto de Matemática
Universidad Austral de Chile
Casilla 567
Valdivia
Chile
e-mail: vdelgado@uach.cl