Synchronized stationary distribution of Markovian switching stochastic delayed signed networks with application to Chua’s circuits

This paper investigates the inner synchronized stationary distribution of delayed signed networks with Markovian switching (DMSNs) by investigating convergence and uniform boundedness of the solution of the error system. The Lyapunov method and the signed digraph theory are applied to investigating the existence of stationary distribution, which avoids the difficulty of constructing the Lyapunov function construction directly. Then two synchronized stationary distribution criteria which ensure DMSNs exist stationary distribution are presented. Finally, the proposed theoretical results are applied to Chua’s circuit, and through corresponding numerical simulations, the validity of the theoretical results is verified.