New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity

DOI10.1002/rnc.1460zbMath1298.93265OpenAlexW2116145981MaRDI QIDQ2928316

X. Liu, Lin Huang, Jin-Zhi Wang, Zhi-Sheng Duan

Publication date: 7 November 2014

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1460

zbMATH Keywords

absolute stabilitylinear matrix inequality (LMI)delay-dependent criterionfrequency-domain inequality (FDI)

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Robust Absolute Stability Analysis of Multiple Time-Delay Lur'e Systems With Parametric Uncertainties ⋮ New absolute stability criteria for uncertain Lur'e systems with time-varying delays ⋮ An improved absolute stability criterion for time-delay Lur'e systems and its frequency domain interpretation ⋮ Further results on delay-dependent absolute and robust stability for time-delay Lur'e system ⋮ On the \(\mu \)-analysis and synthesis of MIMO Lurie-type systems with application in complex networks ⋮ Robust Stability Analysis for Uncertain Time-Delay System ⋮ Interpreting Popov criteria in Luré systems with complex scaling stability analysis ⋮ Complex scaling circle criteria for Luré systems ⋮ Novel delay-decomposing approaches to absolute stability criteria for neutral-type Lur'e systems ⋮ Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus

Cites Work

• Absolute stability of nonlinear systems of automatic control
• On absolute stability and the Aizerman conjecture
• On the Kalman-Yakubovich-Popov lemma
• Robust stability for delay Lur'e control systems with multiple nonlinearities
• Lyapunov function of general Lurie systems with multiple nonlinearities
• Absolute stability of time-delay systems with sector-bounded nonlinearity
• Linear Matrix Inequalities in System and Control Theory
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
• A GALLERY OF ATTRACTORS FROM SMOOTH CHUA'S EQUATION
• A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element
• Stability of time-delay systems

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