Stabilization of generalized linear systems via the algebraic Riccati equation†

DOI10.1080/00207178408933229zbMath0531.93046OpenAlexW2064412310MaRDI QIDQ3313730

E. Bruce Lee, Stephen Brierley, Stanislaw H. Żak

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00207178408933229

zbMATH Keywords

state feedbackstabilizationalgebraic Riccati equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Stability theory of functional-differential equations (34K20) Principal ideal rings (13F10) Polynomials in real and complex fields: factorization (12D05) Algebraic methods (93B25)

Related Items (6)

A new robust stability test for a class of linear systems with uncertainties and multiple time delays ⋮ Stability tests of interval time delay systems ⋮ Note on the stability of large-scale systems with delays ⋮ Further results on the stabilization of time delay systems containing saturating actuators ⋮ A note on robustness bounds for large-scale time-delay systems ⋮ Further results on the robust stability of uncertain time-delay systems

Cites Work

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• Degenerate difference-differential equations: Algebraic theory
• Linear systems with commensurate time delays: stability and stabilization independent of delay
• On the control of linear systems whose coefficients are functions of parameters
• Generalized quadratic optimal controllers for linear hereditary systems
• Canonical forms for time delay systems
• On stability independent of delay for linear systems
• Criterion for the convergence of the solution of the Riccati differential equation
• Geometric properties and invariant manifolds of the Riccati equation
• The generalized Nyquist stability criterion and multivariable root loci

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