Target formation on the circle by monotone system design
Cyrus Mostajeran, Jin Gyu Lee, Graham Van Goffrier, Rodolphe J. Sepulchre · 2021 60th IEEE Conference on Decision and Control (CDC) · 2021
Positivity and Perron-Frobenius theory provide an elegant framework for the convergence analysis of linear consensus algorithms. Here we consider a generalization of these ideas to the analysis of nonlinear consensus algorithms on the circle and establish tools for the design of consensus protocols that monotonically converge to target formations on the circle.