The previous Chaps.  3 and 4 introduced complex fencing with an evenly rotating formation and a varying-velocity target in 2D space, however, they still lack a formal method to develop the fencing control with general dynamics and even higher-dimensional Euclidean space. To this end, in this chapter, we propose a long-term task term algorithm (LTTE) algorithm for a multi-robot system to fence a moving target into an ordering-flexible convex hull resiliently in the n-dimensional Euclidean space. In what follows, we will introduce the related background.