Abstract
The paper considers a control-affine nonlinear system under integral quadratic control constraints. We investigate the problem of local control synthesis, which leads the system to the origin in a small time interval. We obtained sufficient conditions under which the solution obtained for the linearized system in the neighborhood of the origin also brings the initial nonlinear system to zero. To prove these conditions, in addition to the requirement of controllability of the linearized system, one has to use an additional constraint that matches the sufficient condition of asymptotic equality of reachable sets (the set of null controllability) of nonlinear and linearized systems on small time intervals.
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.
