Very recently, a new transient stability methodology referred to as the Localized Transient Stability (LTS) Method was proposed solely for the purpose of realtime localized control of transient stability. The method is based on a completely new idea of localized transient stability. In this paper, real-time localized control of transient stability by the LTS method is described. Since the technique is based on the LTS method, transient stability in this technique is viewed as the interaction of each individual generator with its respective remaining generators. Therefore, in this technique, the post-fault power system is represented by a two-generator localized power system at the site of each individual generator. Each of these localized power systems is then driven to its respective stable equilibrium by local control actions with local computations using the locally measured data in order to drive the full (entire) power system to its stable equilibrium. New investigative results are presented with Static Synchronous Series Compensator (SSSC) as the local control means to demonstrate the potential of real-time localized control of transient stability by the LTS method. Index Terms-localized power system, localized transient stability, real-time localized control, transient stability