Cover Image

Hierarchical Stability and Lyapunov Conditions for Linear PDEs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Peet, Matthew M.
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control Analysis of PDEs Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Computational Method for $H_2$-optimal Estimator and State Feedback Controller Synthesis for PDEs
by: Shivakumar, Sachin, et al.
Published: (2024)

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

$L_2$-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities
by: Jagt, Declan S., et al.
Published: (2022)

A State-Space Representation of Coupled Linear Multivariate PDEs and Stability Analysis using SDP
by: Jagt, Declan S., et al.
Published: (2025)

Inverse Optimal Cardano-Lyapunov Feedback for PDEs with Convection
by: Belhadjoudja, Mohamed Camil, et al.
Published: (2024)

Verifying Well-Posedness of Linear PDEs using Convex Optimization
by: Jagt, Declan S., et al.
Published: (2026)

Mean-Square Exponential Stabilization of Mixed-Autonomy Traffic PDE System
by: Zhang, Yihuai, et al.
Published: (2023)

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

Boundary Control for Stability and Invariance of Traffic Flow Dynamics: A Convex Optimization Approach
by: Chiri, Maria Teresa, et al.
Published: (2025)

Exponential Stabilization of Moving Shockwave in ARZ Traffic Model via Boundary Control: Explicit Gains and Arbitrary Decay Rate
by: Cao, Mina, et al.
Published: (2026)

Representation of PDE Systems with Delay and Stability Analysis using Convex Optimization -- Extended Version
by: Jagt, Declan S., et al.
Published: (2022)

Target controllability for a minimum time problem in a trait-structured chemostat model
by: Alvarez-Latuz, Claudia, et al.
Published: (2026)

A Smooth, Recurrent, Non-Periodic Viscosity Solution of the Hamilton-Jacobi Equation
by: Charfi, Skander
Published: (2025)

On the vanishing viscosity limit of Hamilton-Jacobi equations with nearly optimal discount
by: Wang, Zibo, et al.
Published: (2025)

Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect
by: Bidi, Kala Agbo, et al.
Published: (2025)

Bushfires and Balance: Proactive versus Reactive Policies in Prescribed Burning
by: Dipierro, Serena, et al.
Published: (2025)

Relaxation and stability analysis of a third-order multiclass traffic flow model
by: Gerster, Stephan, et al.
Published: (2025)

Representation of Global Viscosity Solutions for Tonelli Hamiltonians
by: Charfi, Skander
Published: (2025)

Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems
by: Kurula, Mikael
Published: (2022)

From oblique-wave forcing to streak reinforcement: A perturbation-based frequency-response framework
by: Božić, Dušan, et al.
Published: (2026)

Turbulence modeling over riblets via domain transformation
by: Naseri, Mohammadamin, et al.
Published: (2025)

Lyapunov Functions can Exactly Quantify Rate Performance of Nonlinear Differential Equations
by: Jagt, Declan S., et al.
Published: (2026)

A Mixed-FEM approximation with uniform conservation of the exponential stability for a class of anisotropic port-Hamiltonian system and its application to LQ control
by: Mora, Luis A., et al.
Published: (2025)

Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
by: Liu, Ziyu, et al.
Published: (2024)

Exponential mixing for the randomly forced NLS equation
by: Chen, Yuxuan, et al.
Published: (2025)

Bounding Escape Rates and Approximating Quasi-Stationary Distributions of Brownian Dynamics
by: Bramburger, Jason J.
Published: (2025)

Control of neural field equations with step-function inputs
by: Tamekue, Cyprien, et al.
Published: (2025)

Synchronization of mean-field models on the circle
by: Polyanskiy, Yury, et al.
Published: (2025)

PIETOOLS 2025: User Manual
by: Shivakumar, Sachin, et al.
Published: (2025)

$H_{\infty}$-Optimal Estimator Synthesis for Coupled Linear 2D PDEs using Convex Optimization
by: Jagt, Declan S., et al.
Published: (2024)

Dual Representations and $H_{\infty}$-Optimal Control of Partial Differential Equations
by: Shivakumar, Sachin, et al.
Published: (2022)

Regular Pairings for Non-quadratic Lyapunov Functions and Contraction Analysis
by: Proskurnikov, Anton V., et al.
Published: (2024)

Chow and Rashevskii meet Sobolev
by: Kryzhevich, Sergey, et al.
Published: (2025)

Extension of the Partial Integral Equation Representation to GPDE Input-Output Systems
by: Shivakumar, Sachin, et al.
Published: (2022)

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

Systematic search for singularities in 3D Euler flows
by: Zhao, Xinyu, et al.
Published: (2022)

Linear Algebra Problems Solved by Using Damped Dynamical Systems on the Stiefel Manifold
by: Gulliksson, M, et al.
Published: (2025)

Sufficient Conditions for String Stability
by: Karafyllis, Iasson, et al.
Published: (2025)

Convergence of Potential Mean-Field Games via Lyapunov Methods
by: Höfer, Felix
Published: (2026)

Bilinear controllability for the linear KdV-Schr{ö}dinger equation
by: Buffe, Rémi, et al.
Published: (2026)