Linear quadratic optimal control for systems governed by first-order hyperbolic partial differential equations

DOI10.1007/s11424-024-3324-8OpenAlexW4392202573MaRDI QIDQ6130964

Huan-Shui Zhang, Juanjuan Xu, Xiaomin Xue

Publication date: 3 April 2024

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-024-3324-8

zbMATH Keywords

first-order hyperbolic partial differential equationslinear quadratic optimal controldiscretization-then-continuousization methodforward and backward partial difference equations

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) First-order hyperbolic equations (35L02)

Cites Work

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• Relaxation methods for mixed-integer optimal control of partial differential equations
• Optimal control with stochastic PDE constraints and uncertain controls
• Boundary control of two PDE's separated by interface conditions
• Optimal control of a class of reaction-diffusion systems
• POD a-posteriori error estimates for linear-quadratic optimal control problems
• Representation and control of infinite dimensional systems
• LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
• Boundary feedback control of linear hyperbolic systems: application to the Saint-Venant-Exner equations
• A posteriori error estimates for optimal control problems governed by parabolic equations
• Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
• A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
• Boundary state feedback exponential stabilization for a one-dimensional wave equation with velocity recirculation
• Optimal control of partial differential equations based on the variational iteration method
• Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
• Boundary control of coupled wave systems with spatially-varying coefficients
• Control for Itô Stochastic Systems With Input Delay
• Linear Quadratic Regulation and Stabilization of Discrete-Time Systems With Delay and Multiplicative Noise
• Convexity and Optimization in Banach Spaces
• Computational Optimization of Systems Governed by Partial Differential Equations
• A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
• On the Necessary Conditions of Optimal Controls for Stochastic Partial Differential Equations
• Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE
• Optimal Control of Partial Differential Equations
• Mathematical Control Theory for Stochastic Partial Differential Equations
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations

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