Propiedades de invarianza de trayectorias para sistemas de control lineales
DOI:
https://doi.org/10.22199/S07160917.1991.0017.00002Keywords:
Matrices, Invarianza, Subespacio vectorial, Teoría de controlAbstract
Este trabajo está dedicado al estudio de algunas propiedades geométricas de trayectorias en sistemas de control lineales invariantes del tipo:
x(t) = A x(t) + B u(t)
donde x(t) en Rn representa el estado, u(t) en Rm la acción de control y tanto A como B representan matrices de órdenes apropiados.
References
[1] BASILE, G.; MARRO, G., Self-bounded controlled invariant subspaces. J. Opt. Th. Appl., 38(1), (1982), 71-81.
[2] BLAGODATSKIKH, V.I., Sufficient conditions for optimality in problems with state constraints, Appl. Math. and Opt. Vol. 7 (1981).
[3] DELGADO, V., Controlabilidad direccional uniparamétrica en Sistemas lineales, Anales III CLAIO, Tomo l, 231-239, (1988).
[4] SCHUMACHER, J.M., Algebraic characterizations of almost invariance, International J. of Control, 38(1), (1983), 107-124.
[5] STERN, R., Asymtotic Holdability. IEEE Trans. Aut. Control, AC- 25, N° 6, (1980), 1196-1198.
[6] WILLEMS, J.C., Almost A(mod B)-invariant subspaces. Astérisque 75/76, (1980), 239-248.
[7] WONHAM, W.M., Linear multivariable control. Springer Verlag, (1985).
[2] BLAGODATSKIKH, V.I., Sufficient conditions for optimality in problems with state constraints, Appl. Math. and Opt. Vol. 7 (1981).
[3] DELGADO, V., Controlabilidad direccional uniparamétrica en Sistemas lineales, Anales III CLAIO, Tomo l, 231-239, (1988).
[4] SCHUMACHER, J.M., Algebraic characterizations of almost invariance, International J. of Control, 38(1), (1983), 107-124.
[5] STERN, R., Asymtotic Holdability. IEEE Trans. Aut. Control, AC- 25, N° 6, (1980), 1196-1198.
[6] WILLEMS, J.C., Almost A(mod B)-invariant subspaces. Astérisque 75/76, (1980), 239-248.
[7] WONHAM, W.M., Linear multivariable control. Springer Verlag, (1985).
Published
2018-04-02
How to Cite
[1]
H. R. Henríquez Miranda, V. Delgado A., and M. E. San Martín A., “Propiedades de invarianza de trayectorias para sistemas de control lineales”, Proyecciones (Antofagasta, On line), vol. 10, no. 17, pp. 13-26, Apr. 2018.
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