ISS estimates in the spatial sup-norm for nonlinear 1-D parabolic PDEs
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Publication:4999571
DOI10.1051/cocv/2021053zbMath1468.35025arXiv2007.15204OpenAlexW3160380380WikidataQ114105721 ScholiaQ114105721MaRDI QIDQ4999571
Krstić, Miroslav, Iasson Karafyllis
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15204
Control/observation systems governed by partial differential equations (93C20) Maximum principles in context of PDEs (35B50) Asymptotic stability in control theory (93D20) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)
Cites Work
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- Analysis of nonlinear spectral eddy-viscosity models of turbulence
- Stability and stabilization of nonlinear systems.
- Sampled-data boundary feedback control of 1-D parabolic PDEs
- Input-to-state stability for PDEs
- A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances
- ISS-like estimates for nonlinear parabolic PDEs with variable coefficients on higher dimensional domains
- Partial differential equations. 4th ed
- Infinite-dimensional dynamical systems in mechanics and physics.
- Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
- On continuity of solutions for parabolic control systems and input-to-state stability
- Sampled-data observers for 1-D parabolic PDEs with non-local outputs
- Input-to-state stability of infinite-dimensional control systems
- Nonlocal expression for scalar flux in turbulent shear flow
- Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
- Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
- Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems
- Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
- A De Giorgi Iteration-Based Approach for the Establishment of ISS Properties for Burgers’ Equation With Boundary and In-domain Disturbances
- Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs
- ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
- Characterizations of input-to-state stability for infinite-dimensional systems
- Decay estimates for 1-D parabolic PDES with boundary disturbances