Simple germs of corank one affine distributions

Michail Zhitomirskii; Witold Respondek

Banach Center Publications (1998)

  • Volume: 44, Issue: 1, page 269-276
  • ISSN: 0137-6934

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Zhitomirskii, Michail, and Respondek, Witold. "Simple germs of corank one affine distributions." Banach Center Publications 44.1 (1998): 269-276. <http://eudml.org/doc/208890>.

@article{Zhitomirskii1998,
author = {Zhitomirskii, Michail, Respondek, Witold},
journal = {Banach Center Publications},
keywords = {affine distribution; simple germ; nonequilibrium point; equilibrium point; classification of simple germs},
language = {eng},
number = {1},
pages = {269-276},
title = {Simple germs of corank one affine distributions},
url = {http://eudml.org/doc/208890},
volume = {44},
year = {1998},
}

TY - JOUR
AU - Zhitomirskii, Michail
AU - Respondek, Witold
TI - Simple germs of corank one affine distributions
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 269
EP - 276
LA - eng
KW - affine distribution; simple germ; nonequilibrium point; equilibrium point; classification of simple germs
UR - http://eudml.org/doc/208890
ER -

References

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  3. [J, 90] B. Jakubczyk, Equivalence and invariants of nonlinear control systems, in: Nonlinear Controllability and Optimal Control, H. Sussmann (ed.), Marcel Dekker, New York, 1990, 177-218. Zbl0712.93027
  4. [JR, 90] B. Jakubczyk, W. Respondek, Feedback equivalence of planar systems and stabilizability, in: Robust Control of Linear Systems and Nonlinear Control, Proc. of the Internat. Sympos. MTNS-89, vol. 2, M. A. Kaashhoek, J. H. van Schuppen, and A. C. M. Ran (eds.), Birkhäuser, Boston, 1990, 447-456. Zbl0735.93038
  5. [L, 75] V. Lychagin, Local classification of nonlinear first-order partial differential equations, Uspekhi Mat. Nauk 30 (1975), 101-171; English transl. Russian Math. Surveys 30 (1975). 
  6. [M, 70] J. Martinet, Sur les singularites des formes differentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), 95-178. 
  7. [RZh, 95] W. Respondek, M. Zhitomirskii, Feedback classification of nonlinear control systems on 3-manifolds, Math. Control Signals Systems 8 (1995), 299-333. Zbl0856.93044
  8. [T, 89] K. Tchoń, On normal forms of affine systems under feedback, in: New Trends in Nonlinear Control Theory, J. Descusse, M. Fliess, A. Isidori, and D. Leborgne (eds.), Lecture Notes in Control and Information Sciences 122, Springer-Verlag, 1989, 23-32. 
  9. [Zh, 85] M. Zhitomirskii, Finitely determined 1-forms ω, ω|_0 ≠ 0 are exhausted by the models of Darboux and Martinet, Funktsional Anal. i Prilozhen. 19 (1985), 71-72; English transl. Funct. Anal. Appl. 19 (1985). 
  10. [Zh, 92] M. Zhitomirskii, Typical Singularities of Differential 1-Forms and Pfaffian Equations, Translations of Mathematical Monographs 113, AMS, Providence, 1992. 

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