Exponential stabilization of nonlinear switched systems with distributed time-delay: an average dwell time approach

DOI10.1016/j.ejcon.2017.05.003zbMath1373.93287OpenAlexW2619115814WikidataQ115575553 ScholiaQ115575553MaRDI QIDQ2411494

Zidong Wang, Lifeng Ma, Yurong Liu, Fuad Eid S. Alsaadi

Publication date: 24 October 2017

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2017.05.003

zbMATH Keywords

nonlinear systemsswitched systemsHamilton-Jacobi inequalitydistributed time-delayweighted \(L_2\) gain

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

Observer-based synchronisation control for discrete-time delayed switched complex networks with coding–decoding approach ⋮ Exponential stabilization for a class of nonlinear switched systems with mixed delays under asynchronous switching ⋮ Memory-based controller design for neutral time-delay systems with input saturations: a novel delay-dependent polytopic approach ⋮ Switched mechanisms for stability and \(l_1\)-gain analysis of T-S fuzzy positive systems described by the F-M second model ⋮ Asynchronous observer-based \(H_\infty\) control for switched stochastic systems with mixed delays under quantization and packet dropouts ⋮ Finite time control of a class of nonlinear switched systems in spite of unknown parameters and input saturation ⋮ Stability analysis and control design based on average dwell time approaches for switched nonlinear port-controlled Hamiltonian systems ⋮ New results on delay-dependent stability for nonlinear systems with two additive time-varying delays ⋮ Stability criteria of switched singular systems based on a limit \(\Phi\)-dependent average dwell time strategy ⋮ Event-based robust stabilization for delayed systems with parameter uncertainties and exogenous disturbances ⋮ Stabilisation and ℋ_∞control for switched port-controlled Hamiltonian systems with unstable modes and actuator saturation ⋮ Observer-based passive control of non-homogeneous Markov jump systems with random communication delays ⋮ Event-triggered finite-time H_∞ control of networked state-saturated switched systems

Cites Work

• Unnamed Item
• Robust filtering for a class of nonlinear stochastic systems with probability constraints
• Stabilization and robust \(H_\infty\) control for sector-bounded switched nonlinear systems
• A game theory approach to mixed control for a class of stochastic time-varying systems with randomly occurring nonlinearities
• Adaptive continuous higher order sliding mode control
• Weighted \(H_\infty \) model reduction for linear switched systems with time-varying delay
• Switching in systems and control
• Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays
• \(H_\infty\) and \(l_2 - l_\infty\) finite-horizon filtering with randomly occurring gain variations and quantization effects
• Switching between stabilizing controllers
• Input-to-state stability for discrete-time nonlinear switched singular systems
• Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback
• Robust reliability method for non-fragile guaranteed cost control of parametric uncertain systems
• Nonlinear \(H_2/H_\infty\) constrained feedback control. A practical design approach using neural networks
• A new framework for output feedback controller design for a class of discrete-time stochastic nonlinear system with quantization and missing measurement
• Switched state-feedback control for continuous time-varying polytopic systems
• Robust admissibility of uncertain switched singular systems
• State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic Systems
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations
• A Resilient Approach to Distributed Filter Design for Time-Varying Systems Under Stochastic Nonlinearities and Sensor Degradation
• Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets
• Unknown Input Observers for Switched Nonlinear Discrete Time Descriptor Systems
• Notice of Violation of IEEE Publication Principles: Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters
• A structured filter for Markovian switching systems
• A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets
• Stabilization of Switched Systems With Nonlinear Impulse Effects and Disturbances
• Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers

This page was built for publication: Exponential stabilization of nonlinear switched systems with distributed time-delay: an average dwell time approach