An axisymmetric tandem mirror system should possess many advantages over conventional tandem-mirror systems. The Kinetic Stabilizer Tandem Mirror (k-S T-M) represents one possible way to MHD-stabilize such systems. However, to design such systems requires the simultaneous satisfaction of MHD stabilization conditions and the constraints of technological feasibility and acceptable power demands This paper reviews the basic requirements for a K-S T-M and discusses various technological approaches for meeting those requirements.