Common　assumptions　in　most　of　the　previous　nonlinear　networked　leader-follower　systems　are　that　the　leader　is　provided　as　a　constant　signal　and　that　the　controllers　are　designed　for　either　the　joint-space　regulation　or　the　translational　Cartesian-space　motion　control.　This　article　addresses　the　control　issue　of　the　delay-induced　horizontal　shift　effect　when　the　leader　is　moving　with　a　changing　speed.　A　novel　mixed-type　feedback　is　introduced　to　reduce　the　horizontal　shift　effect　so　as　to　minimize　tracking　errors　experienced　by　the　follower　agents.　In　this　article,　we　also　study　the　complete　pose　control　using　a　nonsingular　terminal　sliding　mode　(NTSM)　method.　A　stability　analysis　is　provided　to　prove　the　finite-time　boundedness　of　the　tracking　error　signals.　Quantitative　evaluations　of　the　multiple　effects　on　the　error　bound　are　conducted　to　facilitate　the　subsequent　control　design　to　improve　the　performance.　Numerical　simulation　results　of　a　team　of　two　degree-of-freedoms　(DOFs)　manipulators　demonstrate　the　improved　tracking　performance　of　the　end　effectors　with　small　bounded　errors　which　are　affected　by　network　delays,　maximum　assigned　accelerations,　and　the　selection　of　control　gains.　The　experimental　results　are　provided　to　demonstrate　the　performance　of　the　developed　controller.