Equivalence of control systems on the Euclidean group SE (2)

• Autorzy: Adams R. M. , Biggs R. , Remsing C. C.
• Języki publikacji: EN

Abstrakty

EN

We classify, under (local) state space equivalence, all full-rank left-invariant control affne systems evolving on the Euclidean group SE(2).

Słowa kluczowe

EN

Left-invariant control system; state space equivalence; Euclidean group

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2012
• Tom: Vol. 41, no. 3
• Strony: 513--524
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Adams R. M.

autor

Biggs R.

autor

Remsing C. C.

• Department of Mathematics (Pure and Applied) Rhodes University, PO Box 94 6140 Grahamstown, South Africa,

Bibliografia

• Agrachev A.A. and Sachkov Y.L. (2004) Control Theory from the Geometric Viewpoint. Springer-Verlag.
• Biggs R. and Remsing C.C. (2012) A category of control systems. An. Şt. Univ. Ovidius Constanţa 20 (1), 355-368.
• Biggs R. and Remsing C.C. (no date) On the equivalence of control systems on Lie groups (submitted).
• Jakubczyk B. (1990)Equivalence and invariants of nonlinear control systems. In: H.J. Sussmann, ed.,Nonlinear Controllability and Optimal Control, M. Dekker, 177-218.
• Jurdjevic V. (1997) Geometric Control Theory. Cambridge University Press.
• Jurdjevic V. and Sussmann H.J. (1972) Control systems on Lie groups. J. Diff Equations 12, 313-329.