Well-posedness of boundary control systems and application to ISS for coupled heat equations with boundary disturbances and delays
Fuente:
arXiv
Saved in:
| Main Authors: | Gantouh, Yassine El, Zheng, Jun, Zhu, Guchuan |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Spectral-based ISS small-gain theorem for boundary control systems with infinite couplings
by: Gantouh, Yassine El, et al.
Published: (2026)
by: Gantouh, Yassine El, et al.
Published: (2026)
Well-posedness and stability of boundary delay equations
by: Gantouh, Yassine El, et al.
Published: (2025)
by: Gantouh, Yassine El, et al.
Published: (2025)
Input-to-state stabilization of $1$-D parabolic equations with Dirichlet boundary disturbances under boundary fixed-time control
by: Zheng, Jun, et al.
Published: (2024)
by: Zheng, Jun, et al.
Published: (2024)
Input-to-state stabilization of an ODE cascaded with a parabolic equation involving Dirichlet-Robin boundary disturbances
by: Bi, Yongchun, et al.
Published: (2026)
by: Bi, Yongchun, et al.
Published: (2026)
Unified Lyapunov Method for ISS of PDEs: A Tutorial on Constructing Generalized Lyapunov Functionals for Parabolic and Hyperbolic Equations
by: Zheng, Jun, et al.
Published: (2026)
by: Zheng, Jun, et al.
Published: (2026)
A De Giorgi Iteration-based Approach for the Establishment of ISS Properties of a Class of Semi-linear Parabolic PDEs with Boundary and In-domain Disturbances
by: Zheng, Jun, et al.
Published: (2017)
by: Zheng, Jun, et al.
Published: (2017)
Robust synchronization for multi-agent systems governed by PDEs with observable and unobservable disturbances
by: Bi, Yongchun, et al.
Published: (2026)
by: Bi, Yongchun, et al.
Published: (2026)
Finite-time input-to-state stability for infinite-dimensional systems
by: Sun, Xiaorong, et al.
Published: (2024)
by: Sun, Xiaorong, et al.
Published: (2024)
Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions
by: Hassi, El Mustapha Ait Ben, et al.
Published: (2024)
by: Hassi, El Mustapha Ait Ben, et al.
Published: (2024)
Null controllability of an ODE-heat system with coupled boundary and internal terms
by: Boutaayamou, Idriss, et al.
Published: (2024)
by: Boutaayamou, Idriss, et al.
Published: (2024)
Local integral input-to-state stability for non-autonomous infinite-dimensional systems
by: Bi, Yongchun, et al.
Published: (2025)
by: Bi, Yongchun, et al.
Published: (2025)
Rapid stabilization for a wave equation with boundary disturbance
by: Guzmán, Patricio, et al.
Published: (2025)
by: Guzmán, Patricio, et al.
Published: (2025)
Power Tracking Control of Heterogeneous Populations of TCLs with Partially Measured States
by: Zhang, Zhenhe, et al.
Published: (2023)
by: Zhang, Zhenhe, et al.
Published: (2023)
Input-to-State Stabilization of 1-D Parabolic PDEs under Output Feedback Control
by: Bi, Yongchun, et al.
Published: (2024)
by: Bi, Yongchun, et al.
Published: (2024)
Admissibility of control operators for positive semigroups and robustness of input-to-state stability
by: Gantouh, Yassine El, et al.
Published: (2025)
by: Gantouh, Yassine El, et al.
Published: (2025)
Spatial decay of perturbations in hyperbolic equations with optimal boundary control
by: Oppeneiger, Benedikt, et al.
Published: (2025)
by: Oppeneiger, Benedikt, et al.
Published: (2025)
An observability estimate for the wave equation and applications to the Neumann boundary controllability for semi-linear wave equations
by: Claret, Sue
Published: (2024)
by: Claret, Sue
Published: (2024)
Rapid stabilization of the heat equation with localized disturbance
by: Guzmán, Patricio, et al.
Published: (2025)
by: Guzmán, Patricio, et al.
Published: (2025)
Analysis of Robin-boundary control for the Boussinesq equations
by: Gong, Wei, et al.
Published: (2026)
by: Gong, Wei, et al.
Published: (2026)
Event-triggered boundary control of the linearized FitzHugh-Nagumo equation
by: Hernández-Santamaría, Víctor, et al.
Published: (2024)
by: Hernández-Santamaría, Víctor, et al.
Published: (2024)
On the controller form for linear hyperbolic MIMO systems with dynamic boundary conditions
by: Ecklebe, Stefan, et al.
Published: (2025)
by: Ecklebe, Stefan, et al.
Published: (2025)
Well-posedness of an optical flow based optimal control formulation for image registration
by: Haubner, Johannes, et al.
Published: (2025)
by: Haubner, Johannes, et al.
Published: (2025)
Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions
by: Baroun, Mahmoud, et al.
Published: (2024)
by: Baroun, Mahmoud, et al.
Published: (2024)
Null controllability for stochastic parabolic equations with Robin boundary conditions
by: Boulite, Said, et al.
Published: (2024)
by: Boulite, Said, et al.
Published: (2024)
Tracking controllability for the heat equation
by: Petiso, Jon Asier Bárcena, et al.
Published: (2023)
by: Petiso, Jon Asier Bárcena, et al.
Published: (2023)
Design, modeling and control of a hybrid grid-connected photovoltaic-wind system for the region of Adrar, Algeria
by: Kebbati, Yassine, et al.
Published: (2025)
by: Kebbati, Yassine, et al.
Published: (2025)
Null controllability of n-dimensional parabolic equations degenerated on partial boundary
by: Wu, Weijia, et al.
Published: (2023)
by: Wu, Weijia, et al.
Published: (2023)
Multi-objective control for stochastic parabolic equations with dynamic boundary conditions
by: Oukdach, Omar, et al.
Published: (2024)
by: Oukdach, Omar, et al.
Published: (2024)
Remarks on local controllability for the Boussinesq system with Navier boundary condition
by: Montoya, Cristhian
Published: (2019)
by: Montoya, Cristhian
Published: (2019)
Null controllability for stochastic coupled systems of fourth order parabolic equations
by: Wang, Yu
Published: (2023)
by: Wang, Yu
Published: (2023)
$H^\infty$-control for a class of boundary controlled hyperbolic PDEs
by: Hastir, Anthony, et al.
Published: (2025)
by: Hastir, Anthony, et al.
Published: (2025)
$L^{2}-$ Well-posedness and Bounded Controllability of KdV-B equation
by: Rivas, Ivonne, et al.
Published: (2025)
by: Rivas, Ivonne, et al.
Published: (2025)
Sakawa-Shindo algorithm for optimal control of time-delay systems, with applications to epidemiology
by: Katz, Rami, et al.
Published: (2026)
by: Katz, Rami, et al.
Published: (2026)
Optimal Neumann boundary and distributed control of the Westervelt equation with time-fractional attenuation
by: Nikolić, Vanja, et al.
Published: (2025)
by: Nikolić, Vanja, et al.
Published: (2025)
Well-posedness for integro-differential sweeping processes of Volterra type
by: Vilches, Emilio
Published: (2024)
by: Vilches, Emilio
Published: (2024)
Block triangular preconditioning for elliptic boundary optimal control with mixed boundary conditions
by: Wang, Chaojie
Published: (2024)
by: Wang, Chaojie
Published: (2024)
Active learning for anti-disturbance dual control of unknown nonlinear systems
by: Ma, Xuehui, et al.
Published: (2022)
by: Ma, Xuehui, et al.
Published: (2022)
Well-posedness and convergence of entropic approximation of semi-geostrophic equations
by: Carlier, Guillaume, et al.
Published: (2024)
by: Carlier, Guillaume, et al.
Published: (2024)
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control
by: Chorfi, S. E., et al.
Published: (2024)
by: Chorfi, S. E., et al.
Published: (2024)
Estimated optimality and robustness of nonlinear adaptive control systems under bounded disturbances
by: Fradkov, Alexander
Published: (2025)
by: Fradkov, Alexander
Published: (2025)
Similar Items
-
A Spectral-based ISS small-gain theorem for boundary control systems with infinite couplings
by: Gantouh, Yassine El, et al.
Published: (2026) -
Well-posedness and stability of boundary delay equations
by: Gantouh, Yassine El, et al.
Published: (2025) -
Input-to-state stabilization of $1$-D parabolic equations with Dirichlet boundary disturbances under boundary fixed-time control
by: Zheng, Jun, et al.
Published: (2024) -
Input-to-state stabilization of an ODE cascaded with a parabolic equation involving Dirichlet-Robin boundary disturbances
by: Bi, Yongchun, et al.
Published: (2026) -
Unified Lyapunov Method for ISS of PDEs: A Tutorial on Constructing Generalized Lyapunov Functionals for Parabolic and Hyperbolic Equations
by: Zheng, Jun, et al.
Published: (2026)