We consider the pursuit problem for the so-called game “boy and crocodile”. “Boy” is moving in according to the equation ỳ = v, “crocodile” moving according to the equation ẍ = u and “boy” can not leave the closed ball of radius R > 0. Control of the pursuer is subjected to integral constraint, and the evader’s control is subjected to geometric constraint. Sufficient conditions of completion of pursuit from all initial positions are obtained.
Nargiza Siddiqova, Shakhnoza Muksimova, Asqar Rakhmanov (2017); Research of one problem of pursuit with different constraints on controls;
Int J Sci Res Publ 7(5) (ISSN: 2250-3153). http://www.ijsrp.org/research-paper-0517.php?rp=P656375