High-accuracy algorithms for solution of discrete periodic Riccati equations

The algorithm of solution of discrete periodic Riccati equation which arises, in particular, in problems of synthesis of system of stabilization of the hopping robot is offered. In this algorithm it is removed a number of restrictions on matrix coefficients of the equation which are peculiar to existing algorithms. It is essential, that this algorithm allows to use at the realization of procedure of variable precision arithmetic. This circumstance enables to receive the solution of discrete periodic Riccati equation with high accuracy. The examples axe considered.