Absolute stability of uncertain discrete Lur'e systems and maximum admissible perturbed bounds

DOI10.1016/j.jfranklin.2010.07.003zbMath1202.93102OpenAlexW2035150622MaRDI QIDQ613372

Fei Hao

Publication date: 20 December 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.07.003

zbMATH Keywords

Lyapunov functionlinear matrix inequalities (LMIs)frequency-domain conditionextended strictly positive real (ESPR) lemmaPopov-like criterionrobust absolute stabilityuncertain discrete Lur'e systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Robust stability (93D09)

Related Items (10)

Further results on delay-dependent absolute and robust stability for time-delay Lur'e system ⋮ Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters ⋮ \(L_{r}\)-synchronization and adaptive synchronization of a class of chaotic Lurie systems under perturbations ⋮ Interpreting Popov criteria in Luré systems with complex scaling stability analysis ⋮ Complex scaling circle criteria for Luré systems ⋮ Absolute stability criteria for infinite-dimensional discrete Lur'e systems with application to loaded distortionless electric RLCG-transmission line ⋮ Sufficient LMI stability conditions for Lur’e type systems governed by a control law designed on their Euler approximate model ⋮ Wirtinger-type inequality and the stability analysis of delayed Lur'e system ⋮ Delay-range-dependent stability criteria for delayed discrete-time Lur'e system with sector-bounded nonlinearities ⋮ Delay-Dependent Stability Criteria for Uncertain Discrete-Time Lur’e Systems with Sector-Bounded Nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Absolute stability of nonlinear systems of automatic control
• Robust stabilization of discrete-time nonlinear Lur'e systems with sector and slope restricted nonlinearities
• Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur'e functions
• On the Kalman-Yakubovich-Popov lemma
• Analysis of disturbances rejection for Lur'e systems.
• Robust stability and performance of uncertain Lurie systems with state delays
• Absolute stability of systems with parametric uncertainty and nonlinear feedback
• Linear Matrix Inequalities in System and Control Theory
• Robust Solutions to Least-Squares Problems with Uncertain Data
• Robust stability of Lure systems with time-varying uncertainties: A linear matrix inequality approach
• Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
• Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis
• A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach
• New conditions on absolute stability of uncertain Lur'e systems and the maximum admissible perturbed bound
• A note on absolute stability of uncertain systems

This page was built for publication: Absolute stability of uncertain discrete Lur'e systems and maximum admissible perturbed bounds