Control theory from the geometric viewpoint [

  title={Control theory from the geometric viewpoint [},
  author={Andrei A. Agrachev and Yuri L. Sachkov},
Geometrical methods have had a profound impact in the development of modern nonlinear control theory. Fundamental results such as the orbit theorem, feedback linearization, disturbance decoupling or the various controllability tests for nonlinear systems are all deeply rooted on a geometric view of control theory. It is perhaps surprising, and possibly debatable, that in order to understand and appreciate the “essence” of linear control systems one has to delve into the intricacies of Lie… CONTINUE READING
Highly Influential
This paper has highly influenced 56 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 399 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 277 extracted citations

Sufficient Conditions for a Path-Connected Set of Local Solutions to an Optimal Control Problem

SIAM Journal of Applied Mathematics • 2016
View 15 Excerpts
Highly Influenced

Real analytic control systems

53rd IEEE Conference on Decision and Control • 2014
View 6 Excerpts
Highly Influenced

399 Citations

Citations per Year
Semantic Scholar estimates that this publication has 399 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-6 of 6 references

Smooth manifolds and observables. Graduate texts

J. Nestruev
View 1 Excerpt

Geometric control theory. Cambridge studies in advanced

V. Jurdjevic
View 3 Excerpts

Nonlinear control systems. (3rd ed.), Berlin: Springer

A. Isidori
View 1 Excerpt

The mathematical theory of optimal processes

E F.

Similar Papers

Loading similar papers…