A model problem of impulse control with incomplete information
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 1 (1992), pp. 106-121
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One model persuit-evasion problem with impulse control is investigated. Pursuer measures the line of sight angular velocity with errors and tries to minimize the miss value. It is admitted, that the angular velocity error abides by geometrical restriction. The problem is formulated as a differential game with incomplete information. Three versions of constructing control strategies are suggested. In natural particular case they all pass to one and the same strategy, which is optimal. Results of numerical simulation are described.