Monotone systems under positive feedback: multistability and a reduction theorem

DOI10.1016/j.sysconle.2004.08.003zbMath1129.93398OpenAlexW1998232699MaRDI QIDQ2504514

Eduardo D. Sontag, Germán A. Enciso

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2004.08.003

zbMATH Keywords

global stabilitymonotone systemsunity feedback

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

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Cites Work

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• Mathematical physiology
• Remarks on excitability, stability and sign of equilibria in cooperative systems
• On Irwin's proof of the pseudostable manifold theorem
• Multi-stability in monotone input/output systems
• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Stability and convergence in strongly monotone dynamical systems.
• Monotone control systems
• Cross-Positive Matrices