Using Krotov’s Functions for the Prompt Synthesis Trajectory of Intelligent Info-communication Robot

In the section “Using Krotov’s functions for the prompt synthesis trajectory of intelligent info-communication robot” proves sufficient conditions for optimal control of a deterministic compound dynamic system, which is considered as a model. Info-communication robot performs intellectual actions in automatic or semi-automatic mode to collect information and transmit it to the control center. Mobile sensors are considered as information elements of info-communication robot. Telecommunication aero platform is considered as a telecommunication element. The proved conditions could be considered as a theoretical basis for the algorithm’s construction of weak artificial intelligence—intelligence of action, which allow to prompt calculate the trajectories of the constituent elements of info-communication robots in conditions of uncertainty. Sufficient optimality conditions are proved by using the Krotov’s modified expansion principle and the invariant immersion method in combination with the Krotov’s function method and are formulated as a Krotov’s modified expansion principle for deterministic compound dynamical systems. The expansion principle formulated for compound dynamic systems with the scheme of trajectory branches in the form convenient for construction of computational algorithms containing central and lateral branches, without interaction of subsystems after division and also formulated the expansion principle for the simplest compound dynamic system with consideration of subsystems interaction. Model example of a branched trajectory calculation of info-communication robot is given. The practical significance of the obtained conditions is that on their basis it is possible to develop computational procedures for the prompt calculation of optimal branched trajectories of infor-communications robots.