Distributed Computation of Common Lyapunov Functions
Xiong Hui Zeng, Xianlin Zeng, Yiguang Hong · 2018
This paper investigates the distributed computation of common Lyapunov functions over multi-agent networks for switching problems. From an optimization perspective, we present a distributed algorithm for solving the nonlinear convex programming problem by means of the projection method. Then we prove that the proposed algorithm is Lyapunov stable and can converge to an exact optimal solution of the common Lyapunov functions problem.