Abstract
In the previous chapter we have seen that many nonlinear control systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.A. Abraham and J.E. Marsden. Foundations of Mechanics. Benjamin/Cummings, Reading, 1978.
T. Bröcker and K. Jänich. Einführung in die Differentialtopologie. Springer, Berlin, 1973.
W.A. Boothby. An Introduction to Differentiable Manifolds and Riemannian Geometry. Academic Press, New York, 1975.
R. Hermann. The differential geometry of foliations. J. Math. and Mech., 11:302–306, 1962.
A. Isidori. Nonlinear Control Systems: An Introduction, volume 72 of Lect. Notes Contr. Inf. Sci. Springer-Verlag, Berlin, 1985.
T. Nagano. Linear differential systems with singularities and applications to transitive Lie algebras. J. Math. Soc. Japan, 18:398–404, 1966.
M. Spivak. A comprehensive introduction to differential geometry, Vol I. Publish or Perish, Boston, 1970.
H. Sussmann. Orbits of families of vectorfields and integrability of distributions. Trans. Amer. Math. Soc., 180:171–188, 1973.
F.W. Warner. Foundations of differentiable manifolds and Lie groups. Scott, Foresman, Glenview, 1970.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York 1990, Corrected printing 2016
About this chapter
Cite this chapter
Nijmeijer, H., van der Schaft, A. (1990). Manifolds, Vectorfields, Lie Brackets, Distributions. In: Nonlinear Dynamical Control Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2101-0_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2101-0_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2102-7
Online ISBN: 978-1-4757-2101-0
eBook Packages: Springer Book Archive