Turnpike in optimal control of PDEs, ResNets, and beyond
B Geshkovski, E Zuazua - Acta Numerica, 2022 - cambridge.org
The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …
seeks to move an economy from one level of capital to another, then the most efficient path …
Large time control and turnpike properties for wave equations
E Zuazua - Annual Reviews in Control, 2017 - Elsevier
In the last decades mathematical control theory has been extensively developed to handle
various models, including Ordinary and Partial Differential Equations (ODE and PDE), both …
various models, including Ordinary and Partial Differential Equations (ODE and PDE), both …
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
We analyze the sensitivity of the extremal equations that arise from the first order necessary
optimality conditions of nonlinear optimal control problems with respect to perturbations of …
optimality conditions of nonlinear optimal control problems with respect to perturbations of …
The turnpike property in semilinear control
D Pighin - ESAIM: Control, Optimisation and Calculus of …, 2021 - esaim-cocv.org
An exponential turnpike property for a semilinear control problem is proved. The state-target
is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also …
is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also …
[PDF][PDF] Turnpike in lipschitz-nonlinear optimal control
We present a new proof of the turnpike property for nonlinear optimal control problems,
when the running target is a steady control-state pair of the underlying dynamics. Our …
when the running target is a steady control-state pair of the underlying dynamics. Our …
[HTML][HTML] Control in moving interfaces and deep learning
B Geshkovski - 2021 - dialnet.unirioja.es
Control in moving interfaces and deep learning - Dialnet Ayuda ¿En qué podemos ayudarle?
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Turnpike in Lipschitz—nonlinear optimal control
We present a new proof of the turnpike property for nonlinear optimal control problems,
when the running target is a steady control-state pair of the underlying system. Our strategy …
when the running target is a steady control-state pair of the underlying system. Our strategy …
[PDF][PDF] Averaged turnpike property for differential equations with random constant coefficients
This paper studies the integral turnpike and turnpike in average for a class of random or-
dinary differential equations. We prove that, under suitable assumptions on the matrices that …
dinary differential equations. We prove that, under suitable assumptions on the matrices that …
Exponential turnpike property for fractional parabolic equations with non-zero exterior data
We consider averages convergence as the time-horizon goes to infinity of optimal solutions
of time-dependent optimal control problems to optimal solutions of the corresponding …
of time-dependent optimal control problems to optimal solutions of the corresponding …
Uniform Turnpike Property and Singular Limits
Motivated by singular limits for long-time optimal control problems, we investigate a class of
parameter-dependent parabolic equations. First, we prove a turnpike result, uniform with …
parameter-dependent parabolic equations. First, we prove a turnpike result, uniform with …