caa a22 4500 463164113 CHVBK 20180406164756.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10778-007-0103-x doi (NATIONALLICENCE)springer-10.1007/s10778-007-0103-x Larin V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut High-accuracy algorithms for solving the discrete-time periodic Riccati equation [Elektronische Daten] [V. Larin] The paper proposes an algorithm for solving the discrete-time periodic Riccati equation, which arises, for instance, in designing a stabilization system for a hopping robot. This algorithm does not have a number of constraints on the matrix coefficients peculiar to other algorithms. It is significant that variable-precision arithmetic can be used in numerical implementation of the algorithm. This makes it possible to solve discrete-time periodic Riccati equations with high accuracy. Some examples are given Springer Science+Business Media, Inc., 2007 Riccati equation nationallicence periodic system nationallicence variable-precision arithmetic nationallicence International Applied Mechanics Springer US 43/9(2007-09-01), 1028-1034 1063-7095 43:9<1028 2007 43 10778 https://doi.org/10.1007/s10778-007-0103-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0103-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Larin V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/9(2007-09-01), 1028-1034 1063-7095 43:9<1028 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer