The fast convergence analysis of finite-time consensus for multi-agent systems with switching topology

In this paper, a fast convergence consensus problem of multi-agent systems with switching topology in finite-time domain is investigated. The problem can be formulated as a time-optimal control problem of a switched system with unknown weight parameters and switching times. By applying a time transformation and an inequality transformation, we convert the fast convergence consensus problem into a canonical optimal parameter selection problem, which can be solved by a nonlinear optimization method. One illustrative example demontrates the effectiveness of the proposed method.