Symmetries of control systems
Samokhin, Alexey
Banach Center Publications, Tome 37 (1996), p. 337-342 / Harvested from The Polish Digital Mathematics Library

Symmetries of the control systems of the form ut=f(t,u,v), un, vm are studied. Some general results concerning point symmetries are obtained. Examples are provided.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262814
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     author = {Samokhin, Alexey},
     title = {Symmetries of control systems},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {337-342},
     zbl = {0930.37040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p337bwm}
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Samokhin, Alexey. Symmetries of control systems. Banach Center Publications, Tome 37 (1996) pp. 337-342. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p337bwm/

[000] [1] P. H. M. Kersten, The general symmetry algebra structure of the underdetermined equation ux=(vxx)2, J. Math. Phys. 32 (1991), 2043-2050. | Zbl 0738.34007

[001] [2] I. M. Anderson, N. Kamran and P. Olver, Interior, exterior and generalized symmetries, preprint, 1990.

[002] [3] A. P. Krishenko, personal communication.

[003] [4] Y. N. Pavlovskiĭ and G. N. Yakovenko, Groups admitted by dynamical systems, in: Optimization Methods and their Applications, Nauka, Novosibirsk, 1982, 155-189 (in Russian).

[004] [5] G. N. Yakovenko, Solving a control system using symmetries, in: Applied Mechanics and Control Processes, MFTI, Moscow, 1991, 17-31 (in Russian).

[005] [6] G. N. Yakovenko, Symmetries by state in control systems, MFTI, Moscow, 1992, 155-176 (in Russian).

[006] [7] J. W. Grizzle and S. I. Marcua, The structure of nonlinear control systems possessing symmetries, IEEE Trans. Automat. Control 30 (1985), 248-257.

[007] [8] A. J. van der Schaft, Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem, Systems Control Lett. 1 (1981), 108-115. | Zbl 0482.93038