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In this note, we investigate the fixed time consensus in probability for stochastic multi-agent systems under undirected graph. First, a nonlinear consensus protocol with Gaussian white noise is given, and the concept of fixed-time consensus in probability is given. Second, we prove that multi-agent systems can achieve fixed-time consensus in probability under undirected topology by using graph theory,...
A novel singularity free fast recursive terminal sliding mode structure is proposed in this paper, which results in fast and finite time convergence. Dynamical properties of the structure are given and a fast terminal sliding mode control scheme is proposed for a class of nonlinear systems.
This paper develops an adaptive nonlinear control scheme for time-varying parametric uncertain nonlinear system with completely unknown time-varying bounded control coefficient. The proposed design method does not require any a priori knowledge of the sign of the unknown time-varying control coefficient, based on incorporating Nussbaum function gain and smooth projection algorithm into backstepping...
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