Weak Input to State Estimates for 2D Damped Wave Equations with Localized and Nonlinear Damping

DOI10.1137/20M1337909zbMath1462.93004arXiv2005.06206MaRDI QIDQ4990318

Benmiloud Mebkhout, Meryem Kafnemer, Yacine Chitour

Publication date: 28 May 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06206

zbMATH Keywords

controldisturbancenonlinear dampingwavelocalized damping

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Wave equation (35L05)

Related Items (3)

ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ ISS-based robustness to various neglected damping mechanisms for the 1-D wave PDE ⋮ L^p-asymptotic stability of 1D damped wave equations with localized and linear damping

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