Stability of control systems and graphs of linear systems

DOI10.1016/0167-6911(91)90142-2zbMath0747.93062OpenAlexW1978009589MaRDI QIDQ1185305

J. A. Sefton, Raimund J. Ober

Publication date: 28 June 1992

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90142-2

zbMATH Keywords

internal stabilityclosed-loop control systemmaximally stabilizing controller

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)

Related Items (16)

Hankel-norm approximation and control systems ⋮ Differential stability and robust control of nonlinear systems ⋮ The regulator problem with robust stability ⋮ Properties of optimally robust controllers ⋮ Rational representation of behaviors: Interconnectability and stabilizability ⋮ The time-varying gap and coprime factor perturbations ⋮ State-space formulas for the computation of the gap ⋮ Equivalence of rational representations of behaviors ⋮ A pointwise criterion for controller robustness ⋮ Stability of control systems and graphs of linear systems ⋮ Optimal angle reduction -- a behavioral approach to linear system approximation ⋮ Unnamed Item ⋮ The parallel projection operators of a nonlinear feedback system ⋮ On the gap metric and coprime factor perturbations ⋮ Uncertainty in the weighted gap metric: A geometric approach ⋮ Graphs, causality, and stabilizability: Linear, shift-invariant systems on \({\mathcal L}_ 2[0,\infty\)]

Cites Work

• A course in \(H_{\infty}\) control theory
• Robust controllers for uncertain linear multivariable systems
• Pole/zero cancellations in the general \({\mathcal H}_\infty\) problem with reference to a two block design
• Stability of control systems and graphs of linear systems
• Robust controller design using normalized coprime factor plant descriptions
• Coprime fractional representations and stability of non-linear feedback systems
• Optimal robustness in the gap metric
• The gap metric: Robustness of stabilization of feedback systems
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