<p>The problem of bipartite formation with prescribed-time convergence is investigated for multiple Euler-Lagrange systems (MELSs) operating under using directed graphs with weighted connections. The analysis takes into account various real-world complexities, including extra inputs and outputs, external disturbances, and uncertainties in system dynamics. A novel prescribed-time hierarchical control(PTHC) algorithm is proposed to solve this challenging problem. The primary advancement lies in decoupling the formation settling time from initial conditions and model parameters, allowing user-defined convergence deadlines aligned with real-world constraints. The directed matrix-weighted graph topology naturally captures the cooperative-competitive nature of bipartite networks. By employing Lyapunov stability theory, we establish necessary criteria for guaranteed prescribed-time bipartite formation convergence. Extensive simulation studies validate the proposed controller’s performance, confirming its capability to realize both collaborative and antagonistic formation configurations within the predefined time frame. The efficacy of the method is definitively confirmed through numerical simulation studies.</p>