Finite-time consensus and stability of networked nonlinear systems

This paper considers the finite-time consensus and stability problems of networked nonlinear systems under an undirected fixed graph. A nonlinear system takes a general form of a controlled first-order differential equation with/without drift term. Sufficient conditions for finite-time consensus and stabilization of networked nonlinear systems are achieved. In multi-system formation, the proposed theoretical approach generalizes the literature results for multi-agent stability and consensus. Heterogenous/homogeneous multi-system formation is a direct application of the given analysis. Some examples are integrated for illustration.