OPTIMAL-CONTROL OF ALMOST-PERIODIC MOTIONS

Necessary conditions are given for an extremum (in the form of a Pontr yagin maximum principle) for almost-periodic (a.p.) optimal control pr oblems, and these conditions are automatically satisfied by convexifie d problems. The importance of studying the optimal control problem for a.p. motions of dynamical systems was noted in [1-3]. Such problems a ppear in many applications, (see for example [4-7]), and also [8] whic h is devoted to the problem of a.p. optimization.