A new lower bound on the cost of optimal regulators

DOI10.1109/TAC.1979.1102020zbMath0397.49004OpenAlexW2092803544MaRDI QIDQ4180847

Gideon Langholz

Publication date: 1979

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1979.1102020

zbMATH Keywords

Lower BoundCost of Optimal RegulatorsLinear RegulatorsMatrix Riccati and Lyapunov Equations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Model systems in control theory (93C99)

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Explicit direct solution of the Lyapunov matrix equation ⋮ New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation ⋮ A brief summary of the bounds on the solution of the algebraic matrix equations in control theory ⋮ New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems ⋮ Lower bounds on the solution of coupled algebraic Riccati equation ⋮ Solution bounds for the discrete Riccati equation and its applications

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