LMI-based Approach of Global Exponential Robust Stability for a Class of Uncertain Distributed Parameter Control Systems with Time-varying Delays

DOI10.1177/1077546307082926zbMath1173.93023OpenAlexW2091862062MaRDI QIDQ3182703

Yangfan Wang, Linshan Wang

Publication date: 15 October 2009

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307082926

zbMATH Keywords

robust controllinear matrix inequalitydistributed parameter systemsuncertain parameterstime-varying delayglobal exponential robust stability

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems governed by partial differential equations (93C20) Linear inequalities of matrices (15A39) Robust stability (93D09)

Related Items (4)

Explicit Delay-Dependent Stability Criteria for Nonlinear Distributed Parameter Systems ⋮ Delay-dependent stability conditions for non-autonomous functional differential equations with several delays in a Banach space ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: controller design

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• Sliding mode control in infinite-dimensional systems
• Robust design of stabilizing controllers for interconnected time-delay systems
• Asymptotic behavior of a class of reaction--diffusion equations with delays
• Theory and applications of partial functional differential equations
• Distributed sliding mode control in systems described by quasilinear partial differential equations
• An LMI approach to dencentralized H8 control
• Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties
• Linear Matrix Inequalities in System and Control Theory
• Input-to-state stability (ISS) analysis for dynamic neural networks
• Decentralized \(H_\infty\) controller design: A matrix inequality approach using a homotopy method
• Stabilization of hereditary distributed parameter control systems

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