Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
From MaRDI portal
Publication:4999570
DOI10.1051/cocv/2021030zbMath1467.49037arXiv2008.13001OpenAlexW3137907199WikidataQ114105726 ScholiaQ114105726MaRDI QIDQ4999570
M. Schaller, Anton Schiela, Lars Grüne
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13001
Sensitivity, stability, well-posedness (49K40) Nonlinear parabolic equations (35K55) Asymptotic stability in control theory (93D20) Sensitivity analysis for optimization problems on manifolds (49Q12) PDEs in connection with control and optimization (35Q93)
Related Items
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, Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relation between strict dissipativity and turnpike properties
- Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property
- Approximation properties of receding horizon optimal control
- The turnpike property in finite-dimensional nonlinear optimal control
- Dual semigroups and second order linear elliptic boundary value problems
- On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems
- Representation and control of infinite dimensional systems
- Semigroups of linear operators and applications to partial differential equations
- Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations
- On the optimal control of strongly nonlinear evolution equations
- Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
- Integral and measure-turnpike properties for infinite-dimensional optimal control systems
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- Turnpike property for two-dimensional Navier-Stokes equations
- Kaskade 7 -- a flexible finite element toolbox
- Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations
- Nonlinear model predictive control. Theory and algorithms
- On turnpike and dissipativity properties of continuous-time optimal control problems
- A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
- An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
- Optimization with PDE Constraints
- On NEMYTSKIJ Operators inLp-Spaces of Abstract Functions
- One-Parameter Semigroups for Linear Evolution Equations
- Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces
- On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems
- Maximal Regularity for Nonautonomous Evolution Equations
- Strict Dissipativity Implies Turnpike Behavior for Time-Varying Discrete Time Optimal Control Problems
- Optimal control of quasilinear parabolic equations
- Exponential Turnpike property for fractional parabolic equations with non-zero exterior data
- On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems
- Optimal shape design for 2D heat equations in large time
- Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control
- Remarks on Long Time Versus Steady State Optimal Control
- Long Time versus Steady State Optimal Control
- Linear integral equations
