Geodesic
Geometric Properties of Successful Solvability Sets in Pursuit Game Problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 262 (2008), pp. 8-15
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This paper is devoted to the study of the properties of solutions to pursuit–evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous time dependence of sections. 
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Yu. V. Averboukh. Geometric Properties of Successful Solvability Sets in Pursuit Game Problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 262 (2008), pp. 8-15. http://geodesic.mathdoc.fr/item/TM_2008_262_a1/

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