Finite-time topology identification of stochastic delayed coupled systems on multi-weighted networks based on graph-theoretic method

Abstract

This paper investigates topology identification problem for stochastic delayed coupled systems on multi-weighted networks. To shorten control time, finite-time control technique is adopted in this article. Based on the graph theory, Lyapunov method and stochastic analysis, finite-time topology identification criteria are derived. Furthermore, to identify partial topological structures of large-scale networks over finite-time domain, pinning control is also considered in this paper. Therein, the unknown topological structures and partial topological structures are identified successfully under the corresponding controllers. Finally, the effectiveness of analytical results is given by two representative numerical examples.