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Special cases in a control problem
Authors:V. B. Larin
Affiliation:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev
Abstract:
A number of control problems for mechanical systems with feedback are reduced to a matrix algebraic Riccati equation. The exact solutions of matrix algebraic Riccati equations with singularities are presented. These singularities do not permit the use of standard solution procedures. Asymptotic solutions of these equations are found in the neighborhood of the singular points. These results can be used as test examples in developing new solution algorithms for matrix algebraic Riccati equations __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 113–120, February 2006.
Keywords:Riccati equation  stabilizing solution  feedback  asymptotic expansion
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