Abstract In recent years, Economic Model Predictive Control (EMPC) has received
considerable attention of many research groups. The present tutorial survey summarizes …

The turnpike property refers to the phenomenon that in many optimal control problems, the
solutions for different initial conditions and varying horizons approach a neighborhood of a …

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 …

We analyze the sensitivity of linear quadratic optimal control problems governed by general
evolution equations with bounded or admissible control operator. We show, that if the …

In this work, we study the steady-state (or periodic) exponential turnpike property of optimal
control problems in Hilbert spaces. The turnpike property, which is essentially due to the …

This article provides an overview of model predictive control (MPC) frameworks for dynamic
operation of nonlinear constrained systems. Dynamic operation is often an integral part of …

We first derive a general integral-turnpike property around a set for infinite-dimensional non-
autonomous optimal control problems with any possible terminal state constraints, under …

For his work in the economics of climate change, Professor William Nordhaus was a co-
recipient of the 2018 Nobel Memorial Prize for Economic Sciences. A core component of the …

Control tasks in various applications are posed as setpoint-stabilization problems, where a
constant reference has to be stabilized. For systems where changing references are given …

We study problems of optimal boundary control with systems governed by linear hyperbolic
partial differential equations. The objective function is quadratic and given by an integral …