Stability analysis of discrete-time Lur'e systems

DOI10.1016/j.automatica.2012.06.034zbMath1257.93060OpenAlexW2056073491MaRDI QIDQ1937519

Carlos A. C. Gonzaga, Jamal Daafouz, Marc Jungers

Publication date: 1 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.06.034

zbMATH Keywords

Lyapunov functionabsolute stabilitysaturationLur'e systemsbounded sector nonlinearitybasin of attraction estimate

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (25)

Input-to-State Stability of Discrete-Time Lur'e Systems ⋮ Uniform ultimate boundedness analysis and synthesis for linear systems with dead-zone in the actuators ⋮ Observer-based output feedback control of discrete-time Luré systems with sector-bounded slope-restricted nonlinearities ⋮ New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation ⋮ Pinning cluster synchronization of delay-coupled Lur'e dynamical networks in a convex domain ⋮ Stabilization by Adaptive Feedback Control for Positive Difference Equations with Applications in Pest Management ⋮ Robust sampled‐data controller design for uncertain nonlinear systems via Euler discretization ⋮ Control design of uncertain discrete‐time Lur'e systems with sector and slope bounded nonlinearities ⋮ Absolute stability of switched Lurie systems via dwell time switching ⋮ Quantized feedback control of continuous time Lur'e systems with nested quantization over finite data rate channels ⋮ Second-order counterexamples to the discrete-time Kalman conjecture ⋮ Stability analysis of Lure systems under aperiodic sampled‐data control ⋮ Total stability of equilibria motivates integral action in discrete-time nonlinear systems ⋮ Low‐gain integral control for a class of discrete‐time Lur'e systems with applications to sampled‐data control ⋮ Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Luré systems: Sequential SDP relaxation approaches ⋮ Pinning Lur'e complex networks via output feedback control ⋮ Stochastic stabilization and induced \(\ell_2\)-gain for discrete-time Markov jump Lur'e systems with control saturation ⋮ Stabilization and robust \(H_\infty\) control for sector-bounded switched nonlinear systems ⋮ MIN-switching local stabilization for discrete-time switching systems with nonlinear modes ⋮ On the Aizerman problem: coefficient conditions for the existence of a four-period cycle in a second-order discrete-time system ⋮ On the Aizerman problem: coefficient conditions for the existence of three- and six-period cycles in a second-order discrete-time system ⋮ Sufficient LMI stability conditions for Lur’e type systems governed by a control law designed on their Euler approximate model ⋮ Robust delay-dependent stability criteria for time-varying delayed Lur'e systems of neutral type ⋮ Anti-windup strategies for discrete-time switched systems subject to input saturation ⋮ Dynamic state feedback controller and observer design for dynamic artificial neural network models

Cites Work

• Unnamed Item
• Unnamed Item
• Absolute stability of nonlinear systems of automatic control
• Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
• Control design for a class of nonlinear continuous-time systems
• Anti-windup design with guaranteed regions of stability for discrete-time linear systems
• Linear Matrix Inequalities in System and Control Theory
• A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Stability Analysis and Stabilization of Systems Presenting Nested Saturations
• ON THE ABSOLUTE STABILITY OF SAMPLED-DATA CONTROL SYSTEMS
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
• Analysis and design for discrete-time linear systems subject to actuator saturation

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