Abstract
We consider a linear nonstationary problem of conflict interaction of controlled objects, where the number of pursuers equals ν and the number of evaders equals µ. All participants are assumed to have equal dynamic abilities. The purpose of the pursuers is to catch all evaders, while the purpose of the latter is to avoid being caught for at least one of them. We establish sufficient solvability conditions for the local evasion problem.
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References
A. A. Chikrii, Conflict-Controlled Processes (Nauk. Dumka, Kiev, 1992) [in Russian].
E. B. Lee and L. Markus, Foundations of Optimal Control Theory (Wiley, New York, 1967; Nauka, Moscow, 1972).
V. I. Blagodatskikh, Introduction to Optimal Control (Linear Theory) (Vyssh. Shkola, Moscow, 2001) [in Russian].
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Original Russian Text © A.S. Bannikov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 5, pp. 3–12.
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Bannikov, A.S. A nonstationary group pursuit problem. Russ Math. 53, 1–9 (2009). https://doi.org/10.3103/S1066369X09050016
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DOI: https://doi.org/10.3103/S1066369X09050016