The problem of pursuit by several objects

Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications

“…Paper [56] by Pschenichnyi and further works by Chikrii, Grigorenko, Petrov, and their colleagues (see, for example, [8,15,21,22,[47][48][49]57,59]) have improved significantly the theory of many person pursuit games.…”

Quasilinear controlled processes under conflict

“…To a considerable degree they are touched upon in [9,10] and are further developments of them. Similar constructions can be found in [6,7] as applied to problems of group pursuit.…”

“…The investigations are close to those carried out in [1][2][3][4][5][6][7][8]. To a considerable degree they are touched upon in [9,10] and are further developments of them.…”

“…Taking into account aemma 5.1, we obtain the equality (5:5). Let us investigate the linear extremal selectors of the set P(z), z E W ~, i.e., selectors for which the inclusion 7(') e L1 is satisfied for all t E [0, P], where LI is some one-dimensional subspace of L. [6,7,11] solved by the method of resolving functions, we note that, in each of them, the selectors from F were set identically equal to zero without concern for whether they provide time minimum or not.…”

Numerical Study of Two-on-One Pursuit-Evasion Game

“…Nowadays, group pursuit-evasion games (several pursuers and/or several evaders) are studied intensively: Pschenichnyi (1976); Hagedorn and Breakwell (1976); Grigorenko (1991); Levchenkov and Pashkov (1990); Chikrii (1997); Abramyantz and Maslov (2004); Stipanovic et al (2009); Blagodatskih and Petrov (2009).…”