Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zheng, Jun, Zhu, Guchuan
Format:	Preprint
Published:	2017
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

Input-to-State Stabilization of 1-D Parabolic PDEs under Output Feedback Control
by: Bi, Yongchun, et al.
Published: (2024)

A Spectral-based ISS small-gain theorem for boundary control systems with infinite couplings
by: Gantouh, Yassine El, et al.
Published: (2026)

Well-posedness of boundary control systems and application to ISS for coupled heat equations with boundary disturbances and delays
by: Gantouh, Yassine El, et al.
Published: (2026)

Robust synchronization for multi-agent systems governed by PDEs with observable and unobservable disturbances
by: Bi, Yongchun, et al.
Published: (2026)

An Input-to-State Safety Approach Towards Safe Control of a Class of Parabolic PDEs Under Disturbances
by: Roy, Tanushree, et al.
Published: (2022)

Observer-based Periodic Event-triggered and Self-triggered Boundary Control of a Class of Parabolic PDEs
by: Rathnayake, Bhathiya, et al.
Published: (2023)

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)

Finite-time input-to-state stability for infinite-dimensional systems
by: Sun, Xiaorong, et al.
Published: (2024)

Power Tracking Control of Heterogeneous Populations of TCLs with Partially Measured States
by: Zhang, Zhenhe, et al.
Published: (2023)

Local integral input-to-state stability for non-autonomous infinite-dimensional systems
by: Bi, Yongchun, et al.
Published: (2025)

A Class of Multi-Objective Control Problems for Quasi-linear Parabolic Equations
by: Dong, Yanming, et al.
Published: (2024)

Sampled-Data Observers for 1-D Parabolic PDEs with Non-Local Outputs
by: Karafyllis, Iasson, et al.
Published: (2019)

Shape Design for Degenerate Parabolic Equations with Degenerate Boundaries and Its Application to Boundary Observability
by: Yang, Dong-Hui, et al.
Published: (2026)

Security of Distributed Parameter Cyber-Physical Systems: Cyber-Attack Detection in Linear Parabolic PDEs
by: Roy, Tanushree, et al.
Published: (2021)

A Canonical Internal Model for Disturbance Rejection for a Class of Nonlinear Systems Subject to Trigonometric-Polynomial Disturbances
by: He, Changran, et al.
Published: (2026)

A Block-Alternating Iterative Approach for a Class of Non-Convex Optimization Problems
by: Li, Anran, et al.
Published: (2026)

Extremum-Seeking Boundary Control for Schrödinger-Type PDEs
by: Biazetto, Paulo Henrique Foganholo, et al.
Published: (2025)

Stabilization for a Cascaded ODE-Wave Equation with Boundary Nonlinear Disturbances
by: Mei, Zhan-Dong, et al.
Published: (2026)

Delayed finite-dimensional observer-based control of 2D linear parabolic PDEs
by: Wang, Pengfei, et al.
Published: (2024)

Finite-Dimensional RHC Control of Linear Time-Varying Parabolic PDEs: Stability Analysis and Model-Order Reduction
by: Azmi, Behzad, et al.
Published: (2024)

Extremum Seeking Boundary Control for Euler-Bernoulli Beam PDEs
by: Biazetto, Paulo H. F., et al.
Published: (2025)

Performance-Barrier Event-Triggered Control of a Class of Reaction-Diffusion PDEs
by: Rathnayake, Bhathiya, et al.
Published: (2024)

Logarithmic Convexity and impulse Approximate Controllability for Degenerate Parabolic Equations with Robin Boundary Conditions
by: Baggari, Hind El, et al.
Published: (2025)

Null Controllability for Backward Stochastic Parabolic Convection-Diffusion Equations with Dynamic Boundary Conditions
by: Baroun, Mahmoud, et al.
Published: (2024)

Memory-Type Null Controllability for Non-Autonomous Degenerate Parabolic Equations with Boundary Degeneracy
by: Jha, Dev Prakash, et al.
Published: (2026)

Moving-Horizon Estimators for Hyperbolic and Parabolic PDEs in 1-D
by: Bhan, Luke, et al.
Published: (2024)

Carleman Estimates for Backward Anisotropic Stochastic Parabolic Equations with General Dynamic Boundary Conditions and Applications
by: Boulite, Said, et al.
Published: (2025)

Distributed Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Systems subject to Bounded Disturbances
by: Huang, Jie
Published: (2024)

Path-OED for infinite-dimensional Bayesian linear inverse problems governed by PDEs
by: Neuberger, J. Nicholas, et al.
Published: (2026)

Lyapunov Characterization for ISS of Impulsive Switched Systems
by: Ahmed, Saeed, et al.
Published: (2024)

Imitation Learning with Safety and L2 Stability Certificates for Boundary Control of Reaction-Diffusion PDEs
by: Biazetto, Paulo Henrique Foganholo, et al.
Published: (2025)

Representation and Stability Analysis of 1D PDEs with Periodic Boundary Conditions
by: Jagt, Declan, et al.
Published: (2025)

On Properties of Adjoint Systems for Evolutionary PDEs
by: Tran, Brian K., et al.
Published: (2024)

Robust Control Lyapunov-Value Functions for Nonlinear Disturbed Systems
by: Gong, Zheng, et al.
Published: (2024)

Equilibrium Correction Iteration for A Class of Mean-Field Game Inverse Problem
by: Yu, Jiajia, et al.
Published: (2025)

Stabilization of a Class of Large-Scale Systems of Linear Hyperbolic PDEs via Continuum Approximation of Exact Backstepping Kernels
by: Humaloja, Jukka-Pekka, et al.
Published: (2024)

Null Controllability for a Multi-Dimensional Degenerate Parabolic Equation with Degenerated Interior Point
by: Yang, Dong-Hui, et al.
Published: (2026)

A superposition approach for the ISS Lyapunov-Krasovskii theorem with pointwise dissipation
by: Mironchenko, Andrii, et al.
Published: (2026)