Absolute stability of general Lurie control systems with multi-nonlinear feedback terms

DOI10.1007/S101140100110zbMath0998.34047OpenAlexW2000441569MaRDI QIDQ5958935

Weigao Ge, Zuo Xin Gan

Publication date: 20 March 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100110

zbMATH Keywords

general Lurie control systemsmultinonlinear feedback terms

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (2)

The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities ⋮ Structurally variable control of Lurie systems

Cites Work

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• On absolute stability and the Aizerman conjecture
• Necessary and sufficient conditions for the existence of a \(G\)-type Lyapunov function
• Stability studies of multimachine power systems with the effects of automatic voltage regulators
• Absolute stability of feedback systems with several differentiable non-linearities
• Solutions for the Lurie-Postnikov and Aizerman problems
• A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions

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