The only stable normal forms of affine systems under feedback are linear

DOI10.1016/0167-6911(87)90103-4zbMath0641.93034OpenAlexW2171752260MaRDI QIDQ1101052

Krzysztof Tchoń

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90103-4

zbMATH Keywords

structural stabilityLie groupstatic feedbacksmooth affine control systemsstructurally stable normal forms

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Control/observation systems governed by ordinary differential equations (93C15) Lie groups (22E99) Stability of control systems (93D99)

Related Items (2)

On structural instability of normal forms of affine control systems subject to static state feedback ⋮ On local linearization of control systems

Cites Work

• On some applications of transversality theory to system theory
• Remarks on nonlinear planar control systems which are linearizable by feedback
• Nonlinear control systems: An introduction
• Bifurcation diagrams for feedback families of linear systems
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