On the asymptotic root-loci of linear multivariable systems

DOI10.1080/00207178108922531zbMath0466.93035OpenAlexW2090580917MaRDI QIDQ3919543

M. J. Grimble, M. A. Johnson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922531

zbMATH Keywords

linear multivariable systemsasymptotic root lociinput direction vectorsmatrix return differencematrix series reductionnecessary and sufficient conditions for terminationquadratic cost function weightings

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Canonical forms, reductions, classification (15A21)

Related Items (3)

A singular perturbation canonical form of invertible systems: determination of multivariate root-loci ⋮ An algorithm for computing multivariable root loci by pivoting ⋮ Return-difference matrix properties of optimal linear stationary estimation and control in singular case

Cites Work

• Generalized quadratic weights for asymptotic regulator properties
• Stability and performance of a class of decentralized filters
• On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment
• Quadratic weights for asymptotic regulator properties
• Dynamic transformations and the calculation of multivariable root-loci

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