Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities

DOI10.1016/j.physleta.2006.10.064zbMath1197.34097OpenAlexW2101666255WikidataQ57591042 ScholiaQ57591042MaRDI QIDQ601425

Sumit K. Garg

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.064

zbMATH Keywords

Lur'e systemslmissector and slope restrictions

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Stability of solutions to ordinary differential equations (34D20)

Related Items (12)

Further criteria on master-slave synchronization in chaotic Lur'e systems using delay feedback control ⋮ LMI approach to stability of a class of discrete-time systems using two's complement arithmetic ⋮ Passivity-based sliding mode control for Lur'e singularly perturbed time-delay systems with input nonlinearity ⋮ Novel criterion for stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities ⋮ Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities ⋮ Chaos synchronization of uncertain Genesio-Tesi chaotic systems with deadzone nonlinearity ⋮ \(H_{\infty}\) Control of Lur'e systems with sector and slope restricted nonlinearities ⋮ gain bounds for systems with sector bounded and slope‐restricted nonlinearities ⋮ Master‐slave synchronization for delayed Lur'e systems using time‐delay feedback control ⋮ Augmented Lyapunov function approach to \({\mathcal L}_2\) gain analysis for discrete-time systems with saturation nonlinearities ⋮ Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling ⋮ NOVEL ROBUST DELAY-DEPENDENT CRITERION FOR ABSOLUTE STABILITY OF LUR'E SYSTEMS OF NEUTRAL TYPE

Cites Work

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• Robust global exponential synchronization of general Lur'e chaotic systems subject to impulsive disturbances and time delays
• Impulsive robust control of uncertain Luré systems
• A stability inequality for nonlinear feedback systems with slope-restricted nonlinearity
• Linear Matrix Inequalities in System and Control Theory
• An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities
• Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
• Stability criteria of sector- and slope-restricted Lur'e systems

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