Output synchronization in fixed/preassigned-time of T-S fuzzy multilayered networks

Considering the function diversity of individuals in the actual system, the uncertainty and fuzziness in modeling network dynamics, a class of T-S fuzzy multilayered networks is concerned in this article, and the fixed/preassigned-time output synchronization is explored to overcome the immeasurability of node states. Firstly, to remove the connectivity restriction of network topology, the synchronous state, which can be any specified smooth orbit, is added to the original network as a virtual individual. Subsequently, a type of continuous fuzzy control law is developed to realize fixed/preassigned-time output synchronization for multilayered networks, and several synchronization criteria are gained based on fixed-time stability theory and inequality technique. Notice that the link between the estimate of settling-time and the number of network layers is revealed, and the restriction on the output matrix is largely weakened compared to some previous researches. Lastly, the proposed fuzzy control schemes and output synchronization criteria are verified by numerical simulations and are applied to signal security communication, in which the robustness and sensitivity of the developed control method are analyzed.