Abstract
In this paper, we study the noncooperative games of multi-agent systems. Different from the well-known noncooperative games, our problem involves not only the coupling inequality constraints and the local inequality constraints of decisions, but also the second-order dynamics of players. Due to the second-order dynamics and the inequality constraints, existing generalized Nash equilibrium seeking algorithms for noncooperative games cannot solve our problem. Besides, the second-order dynamics together with the inequality constraints give rise to the difficulties in distributed algorithm design and analysis. In order to seek the variational generalized Nash equilibrium of the games, we design a distributed algorithm based on gradient descent, state feedback and projection operations. Moreover, we analyze the asymptotic convergence of the algorithm via variational analysis and Lyapunov stability theory. Finally, two examples verify the effectiveness of the algorithm.
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.
