About the necessity of Popov criterion for a special Lyapunov function existence for the systems with multiple nonlinearities

DOI10.1134/S0005117915050069zbMath1322.93090OpenAlexW754775223MaRDI QIDQ747231

M. M. Lipkovich, Fradkov, Alexander L.

Publication date: 23 October 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117915050069

zbMATH Keywords

Popov criterionLyapunov-Lur'e functionnomlinear systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Interpreting Popov criteria in Luré systems with complex scaling stability analysis

Cites Work

• Frequency criterion of absolute stability of control systems with several nonlinear stationary elements
• Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay
• Convolution method for matrix inequalities and absolute stability criteria for stationary control systems
• Absolute stability of a control system with several nonlinear stationary elements in the case of an infinite sector
• Convexity of quadratic transformations and its use in control and optimization
• Duality theorems for certain nonconvex extremal problems
• The absolute stability of nonlinear systems
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
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