Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control

DOI10.1137/18M1223083zbMath1420.49025WikidataQ114074278 ScholiaQ114074278MaRDI QIDQ5232241

Anton Schiela, M. Schaller, Lars Grüne

Publication date: 30 August 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

sensitivity analysismodel predictive controlturnpike property

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Asymptotic stability in control theory (93D20)

Related Items (18)

Turnpike in Lipschitz—nonlinear optimal control ⋮ Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation ⋮ Turnpike in optimal control of PDEs, ResNets, and beyond ⋮ Exponential Decay of Sensitivity in Graph-Structured Nonlinear Programs ⋮ Averaged turnpike property for differential equations with random constant coefficients ⋮ Sparsity in long-time control of neural ODEs ⋮ On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems ⋮ Uniform turnpike property and singular limits ⋮ Near-Optimal Distributed Linear-Quadratic Regulator for Networked Systems ⋮ The effect of the terminal penalty in Receding Horizon Control for a class of stabilization problems ⋮ Kaskade 7 -- a flexible finite element toolbox ⋮ Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems ⋮ Time adaptivity in model predictive control ⋮ Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations ⋮ Strict dissipativity analysis for classes of optimal control problems involving probability density functions ⋮ The turnpike property in semilinear control ⋮ Exponential Turnpike property for fractional parabolic equations with non-zero exterior data ⋮ Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs

Uses Software

• Kaskade7

Cites Work

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