Absolute stability criteria for a class of nonlinear singular systems with time delay

DOI10.1016/j.na.2007.12.030zbMath1168.34048OpenAlexW1984987740MaRDI QIDQ2518103

An-Ke Xue, Hui-Jiao Wang, Ren-Quan Lu

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.12.030

zbMATH Keywords

linear matrix inequality (LMI)nonlinear singular systemsTime delayAbsolute stabilitySector-bounded nonlinearlity

Mathematics Subject Classification ID

Robust stability (93D09) Stability theory of functional-differential equations (34K20)

Related Items (30)

\(H^\infty\) observer design for singular one-sided Lur'e differential inclusion system ⋮ Improved results for stochastic stabilization of a class of discrete-time singular Markovian jump systems with time-varying delay ⋮ On qualitative behaviors of nonlinear singular systems with multiple constant delays ⋮ Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay ⋮ Robust finite-time stability of singular nonlinear systems with interval time-varying delay ⋮ Further results on delay-dependent absolute and robust stability for time-delay Lur'e system ⋮ \(H_\infty\) control for Lur'e singular systems with time delays ⋮ A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems ⋮ Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays ⋮ New results on regional observer-based stabilization for locally Lipschitz nonlinear systems ⋮ Absolute stability of a class of nonlinear singular systems with time delay ⋮ A novel delay-range-dependent observer-based control approach for one-sided Lipschitz systems under measurement delays ⋮ Network-based \(H_{\infty}\) control for singular systems with event-triggered sampling scheme ⋮ Asymptotic stability and stabilization for a class of nonlinear descriptor systems with delay ⋮ Reliable control for a class of uncertain singular systems with interval time-varying delay ⋮ Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations ⋮ Robust Stochastic Stability for a Class of Singular Systems with Uncertain Markovian Jump and Time‐Varying Delay ⋮ Stabilization and tracking control for a class of nonlinear systems ⋮ Stability analysis for a class of neutral type singular systems with time-varying delay ⋮ Absolute exponential stability criteria for a class of nonlinear time-delay systems ⋮ Robust \(H_\infty\) control for a generic linear rational expectations model of economy ⋮ New stability and stabilization criteria for a class of fuzzy singular systems with time-varying delay ⋮ Optimal finite-time passive controller design for uncertain nonlinear Markovian jumping systems ⋮ Robust generalized filtering of uncertain Lipschitz nonlinear systems under measurement delays ⋮ Mean-square exponential stability and stabilisation of stochastic singular systems with multiple time-varying delays ⋮ Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay ⋮ Stability analysis for fractional-order linear singular delay differential systems ⋮ New stability criteria for singular systems with time-varying delay and nonlinear perturbations ⋮ An undecomposed approach to control design for a class of nonlinear descriptor systems ⋮ Stochastic admissibility for a class of singular Markovian jump systems with mode-dependent time delays

Cites Work

• Unnamed Item
• New delay-dependent synchronization criteria for Lur'e systems using time delay feedback control
• Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity
• A stabilization algorithm for a class of uncertain linear systems
• Singular control systems
• Stabilization of nonlinear uncertain systems
• Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities
• Robust stabilization of delayed singular systems with linear fractional parametric uncertainties
• \(H _{\infty}\)-control of linear state-delay descriptor systems: An LMI approach
• Robust stability for delay Lur'e control systems with multiple nonlinearities
• A survey of linear singular systems
• On stability of linear neutral systems with mixed time delays: a discretized Lyapunov functional approach
• Absolute stability of time-delay systems with sector-bounded nonlinearity
• Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems
• Delay-dependent Robust Stabilization for Uncertain Singular Systems with State Delay
• Linear Matrix Inequalities in System and Control Theory
• Additional dynamics in transformed time-delay systems
• On Designing Time-Varying Delay Feedback Controllers for Master–Slave Synchronization of Lur'e Systems
• Robust stability and stabilization for singular systems with state delay and parameter uncertainty
• On Computing the Maximum Time-Delay Bound for Stability of Linear Neutral Systems
• On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems
• Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
• Strictly positive real lemma and absolute stability for discrete-time descriptor systems
• Robust absolute stability criteria for uncertain Lur'e systems of neutral type
• Lyapunov functional for multiple delay general Lurie systems with multiple nonlinearities

This page was built for publication: Absolute stability criteria for a class of nonlinear singular systems with time delay