Strategy for to stabilize non linear systems through directional controls
DOI:
https://doi.org/10.4067/S0716-09172005000200005Abstract
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.
References
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[2] Beltrami E., Mathematics for Dynamic Modelling, Academic Press, Inc. (1987).
[3] Chukwu, E. N., Total Controllability to Affine Manifolds of Control Systems, J. Optim. Th. and Appl., Vol # 42, pp. 181-199, (1864).
[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).
[5] Delgado V., Estabilizaci´on del modelo poblacional de May a través de controles direccionales, Rev. Mat. Th. y Apl., Cimpa, UCR, Vol 8 # 2, pp. 79-83, (2001).
[6] Lee E. B., Markus L., Foundations of Optimal Control Theory, Longman Scientific, Technical, (1988).
[2] Beltrami E., Mathematics for Dynamic Modelling, Academic Press, Inc. (1987).
[3] Chukwu, E. N., Total Controllability to Affine Manifolds of Control Systems, J. Optim. Th. and Appl., Vol # 42, pp. 181-199, (1864).
[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).
[5] Delgado V., Estabilizaci´on del modelo poblacional de May a través de controles direccionales, Rev. Mat. Th. y Apl., Cimpa, UCR, Vol 8 # 2, pp. 79-83, (2001).
[6] Lee E. B., Markus L., Foundations of Optimal Control Theory, Longman Scientific, Technical, (1988).
Published
2017-04-20
How to Cite
[1]
V. Delgado Andrade, “Strategy for to stabilize non linear systems through directional controls”, Proyecciones (Antofagasta, On line), vol. 24, no. 2, pp. 167-173, Apr. 2017.
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