Abstract
We study local controllability and optimal control problems for invertible discrete-time systems. We present second order necessary and sufficient conditions for optimality and for local controllability. The conditions are stated in geometric terms, using vector fields naturally associated to the system. The Hessian of the optimal problem is computed in terms of Lie brackets of vector fields of the system.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
