Abstract
We present a control approach for large systems of interacting agents based on the Riccati equation. If the agent dynamics enjoys a strong symmetrythe arising high dimensional Riccati equation is simplified and the resulting coupled system allows for a formal mean--field limit. The steady--statesof the kinetic equation of Boltzmann and Fokker Planck type can be studied analytically. In case of linear dynamics and quadratic objectivefunction the presented approach is optimal and is compared to the model predictive control approach introduced in [2].
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.
