in order to stabilize a pendulum in this inverted position, a feedback control system can be used, which monitors the pendulum's angle and moves the position of the pivot point sideways when the pendulum starts to fall over, to keep it balanced. the inverted pendulum is a classic problem in dynamics and control theory and is widely used as a benchmark for testing control algorithms (pid controllers, state space representation, neural networks, fuzzy control, genetic algorithms, etc.). variations on this problem include multiple links, allowing the motion of the cart to be commanded while maintaining the pendulum, and balancing the cart-pendulum system on a see-saw. the inverted pendulum is related to rocket or missile guidance, where the center of gravity is located behind the center of drag causing aerodynamic instability. the understanding of a similar problem can be shown by simple robotics in the form of a balancing cart. balancing an upturned broomstick on the end of one's finger is a simple demonstration, and the problem is solved by self-balancing personal transporters such as the segway pt, the self-balancing hoverboard and the self-balancing unicycle.