ISS with respect to boundary and in-domain disturbances for a coupled beam-string system
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Publication:1630913
DOI10.1007/s00498-018-0228-yzbMath1403.93161arXiv1811.06673OpenAlexW2901301200MaRDI QIDQ1630913
David Saussié, Hugo Lhachemi, Jun Zheng, Guchuan Zhu
Publication date: 5 December 2018
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06673
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Adaptive or robust stabilization (93D21) Robust stability (93D09)
Related Items (3)
Input-to-State Stability for a Class of One-Dimensional Nonlinear Parabolic PDEs with Nonlinear Boundary Conditions ⋮ Input-to-state stabilization of an ODE-wave system with disturbances ⋮ A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances
Cites Work
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- Unnamed Item
- Adaptive boundary control of store induced oscillations in a flexible aircraft wing
- Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
- ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
- Stability and stabilization of nonlinear systems.
- Strict Lyapunov functions for semilinear parabolic partial differential equations
- Sampled-data boundary feedback control of 1-D parabolic PDEs
- Local input-to-state stability: characterizations and counterexamples
- Comments on integral variants of ISS
- Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads
- Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
- Input-to-state stability of infinite-dimensional control systems
- Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
- Stabilization of Well-Posed Infinite-Dimensional Systems by Dynamic Sampled-Data Feedback
- Input-to-State Stability of Nonlinear Impulsive Systems
- ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs
- Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
- Further facts about input to state stabilization
- Boundary Control of PDEs
- Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
- Smooth stabilization implies coprime factorization
- ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
- A Strict Control Lyapunov Function for a Diffusion Equation With Time-Varying Distributed Coefficients
- On the relation of delay equations to first-order hyperbolic partial differential equations
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