LAUSR

Aiming at the k-winners-take-all $(k\text{WTA})$ operation, this paper proposes a gradient-based differential $k\text{WTA}$ (GD-$k\text{WTA}$) network. After obtaining the network, theorems and related proofs are provided to guarantee the exponential convergence and noise resistance of the proposed GD-kWTA network. Then, numerical simulations are conducted to substantiate the preferable performance of the proposed network as compared with the traditional ones. Finally, the GD-kWTA network, backed with a consensus filter, is utilized as a robust control scheme for modeling the competition behavior in the multi-robot coordination, thereby further demonstrating its effectiveness and feasibility.