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This work describes a new guidance algorithm against maneuvering decelerating target based on the concept of information sets (IS). As an example of guidance problem, a model of defense scenario against reentering ballistic missile is considered. In this scenario, a maneuverable decelerating target is to be destroyed by a hit-to-kill interceptor outfitted with an infrared (IR) array seeker and lateral impulse thrusters. The key element of the proposed approach is a description of the "interceptor-target" system state by means of IS. The results of Monte Carlo (MC) tests of the developed algorithm are presented.