Resampled interval control for prescribed-time bipartite synchronization of signed networks

Abstract

This paper explores prescribed-time bipartite synchronization (PTBS) of signed networks by employing resampled interval control (RIC). With the introduction of an interval adjustment parameter sequence, the control input can be adjusted dynamically, which makes the control strategy both effective and economical. Under this control strategy, bipartite synchronization can be achieved within the prescribed time. Subsequently, a Lyapunov function is constructed with an auxiliary function and Kirchhoff’s matrix tree theorem is introduced to derive the sufficient condition for achieving PTBS under RIC. Finally, a numerical example of Chua’s circuits (CCs) is exhibited to demonstrate the effectiveness of the theoretical analysis.