The fundamental cost decomposition for linear quadratic control problems Part I. The case of scalar control

DOI10.1080/00207178608933622zbMath0615.93031OpenAlexW2080579513MaRDI QIDQ4724499

C. D. Johnson

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933622

zbMATH Keywords

time-invariantcost-decompositionhidden ideal modelstime-invariant linear quadratic optimal control

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Minimal systems representations (93B20)

Cites Work

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• A case of a linear quadratic optimal design with a weighting matrix which is not non-negative definite
• Cost decomposition of linear systems with application to model reduction
• Component cost analysis of large scale systems
• Optimal control of saturating linear plants for quadratic performance indices
• A unified canonical form for controllable and uncontrollable linear dynamical systems†

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