Consensus problems on networks with free protocol*

Abstract

In the real world, rule makers can only restrict, not completely control the behavior of the governed, while the governed can only choose their behavior patterns under these restrictions. In this paper, we design a new control protocol called free protocol to describe this situation. First, we calculate consensus probabilities based on the information of the interaction networks. Then, sufficient conditions are obtained for all agents converging to a same value with probability one. Finally, numerical simulation results are given to verify the above results.

Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure

“…According to different convergence time, consensus is divided into asymptotical and finite-time consensus. Compared with asymptotical consensus, [1][2][3][4][5][6][7][8] finite-time consensus possesses more advantages such as faster convergence rate, better disturbance rejection, and robustness to uncertainties. Also, in real application, an agent, such as an underwater robot and an unmanned aerial vehicle, is controlled for its desired motion by its acceleration rather than by its speed.…”

Theory and method of dual-energy x-ray grating phase-contrast imaging*

“…Their method reduces the exposure time but requires high grating uniformity. Liu et al [5] proposed a two-step method by combining the analyzer grating with fluorescent screen in 2010. However, a stepping device was still required.…”