Introduction to Geometric Control

Pontryagin maximum principle is proved for sub-Riemannian problems, solution to the sub-Riemannian problems on the Heisenberg group, the group of motions of the plane, and the Engel group is described

Bibliographic Details
Main Author: Sachkov, Yuri
Format: eBook
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Springer Optimization and Its Applications
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Controllability problem
  • 3. Optimal control problem
  • 4. Solution to optimal control problems
  • 5. Conclusion
  • A. Elliptic integrals, functions and equation of pendulum
  • Bibliography and further reading
  • Index