Input-to-State Stability of a Clamped-Free Damped String in the Presence of Distributed and Boundary Disturbances

DOI10.1109/TAC.2019.2925497MaRDI QIDQ5125539

David Saussié, Hugo Lhachemi, Guchuan Zhu, Robert N. Shorten

Publication date: 7 October 2020

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11696

Mathematics Subject Classification ID

Systems theory; control (93-XX)

Related Items (7)

ISS-like estimates for nonlinear parabolic PDEs with variable coefficients on higher dimensional domains ⋮ Approximations of Lyapunov functionals for ISS analysis of a class of higher dimensional nonlinear parabolic PDEs ⋮ ISS-based robustness to various neglected damping mechanisms for the 1-D wave PDE ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control ⋮ Exponential input-to-state stabilization of an ODE cascaded with a reaction-diffusion equation subject to disturbances ⋮ A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances

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