On robustness of Lurie systems with multiple nonlinearities

DOI10.1016/0005-1098(87)90006-9zbMath0626.93052OpenAlexW1990827004MaRDI QIDQ581341

Djordjija B. Petkovski, Ljubomir T. Grujic

Publication date: 1987

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(87)90006-9

zbMATH Keywords

absolute stabilityrobustnessLyapunov methodsmultiple nonlinearitiesLurie type control systemsPopov criterion

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Popov-type stability of feedback systems (93D10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Stability theory for ordinary differential equations (34D99)

Related Items (9)

Criteria for robust absolute stability of time-varying nonlinear continuous-time systems ⋮ On absolute stability and the Aizerman conjecture ⋮ On the hyperstability of a class of hybrid systems ⋮ On absolute stability of Lur’e control systems with multiple non-linearities using linear matrix inequalities ⋮ A knowledge-based system for robustness analysis of large-scale economic systems ⋮ Parametric absolute stability of multivariable Lur'e systems ⋮ On absolute stability of Lur'e control systems with multiple non-linearities ⋮ Impulsive control for the stabilization and synchronization of Lur'e systems ⋮ Impulsive robust control of uncertain Luré systems

Cites Work

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• Multivariable feedback design: Concepts for a classical/modern synthesis
• Feedback properties of multivariable systems: The role and use of the return difference matrix
• Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems
• Gain and phase margin for multiloop LQG regulators
• Solutions for the Lurie-Postnikov and Aizerman problems

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