Simulation of the movement of dynamic objects to achieve goals in 3D space

Objective. The paper considers the problem of modeling the movement of a dynamic object to given points in 3D space, including targets on some functional trajectory of some external function f (x). The solution to the problem lies in calculating the control, the control action included in the mathematical description of ordinary differential equations, forcing the solution of differential equations to achieve the specified goals in 3D space.
Method. Numerical methods for solving ordinary stationary differential equations are used. In particular, the fourthorder Runge-Kutta method, which is included in a number of programming environments and languages, including Python. The article examines methods and techniques for forming a threedimensional space and displaying a dynamic object at specified or arbitrary points.
Result. Using model examples of linear and nonlinear dynamic objects, the possibility of deriving them from the initial point of the state vector to fairly arbitrary points or targets in 3D space is demonstrated. Model objects may be asymptotically stable or not.
Conclusion. Methods and techniques make it possible to transfer dynamic control objects to specified points in 3D space. In a number of cases of outputting dynamic objects to specified targets in 3D space, it becomes necessary to change the parameters of dynamic object models, both linear and nonlinear.

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