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20012025
most citedAn Improved Discrete Bat Algorithm for Symmetric and Asymmetric Traveling Salesman Problems

316 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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12 papers · 1 filter

math.OC2025★ 1 cited

Turnpike in optimal control and beyond: a survey

Emmanuel Trélat, Enrique Zuazua

The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide class of long-horizon optimal control problems, the optimal trajectory spends mos…

math.OC2022★ 11 cited

A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation

Umberto Biccari, Yongcun Song, Xiaoming Yuan +1

We consider the problem of identifying a sparse initial source condition to achieve a given state distribution of a diffusion-advection partial differential equation after a given…

math.OC2021★ 8 cited

A framework for randomized time-splitting in linear-quadratic optimal control

Daniel Veldman, Enrique Zuazua

Inspired by the successes of stochastic algorithms in the training of deep neural networks and the simulation of interacting particle systems, we propose and analyze a framework fo…

math.OC2021★ 3 cited

Observability for heat equations with time-dependent analytic memory

Gengsheng Wang, Yubiao Zhang, Enrique Zuazua

This paper presents a complete analysis of the observability property of heat equations with time-dependent real analytic memory kernels. More precisely, we characterize the geomet…

math.OC2020

Quantitative stability for eigenvalues of Schrödinger operator, Quantitative bathtub principle \& Application to the turnpike property for a bilinear optimal control problem

Idriss Mazari, Domenec Ruiz-Balet

This work is concerned with two optimisation problems that we tackle from a qualitative perspective. The first one deals with quantitative inequalities for spectral optimisation pr…

math.OC2020★ 7 cited

Model predictive control with random batch methods for a guiding problem

Dongnam Ko, Enrique Zuazua

We model, simulate and control the guiding problem for a herd of evaders under the action of repulsive drivers. The problem is formulated in an optimal control framework, where the…

math.OC2020★ 6 cited

The turnpike property in semilinear control

Dario Pighin

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 a…

math.OC2019★ 1 cited

Asymptotic behavior and control of a "guidance by repulsion" model

Dongnam Ko, Enrique Zuazua

We model and analyze a herding problem, where the drivers try to steer the evaders' trajectories while the evaders always move away from the drivers. This problem is motivated by t…

math.OC2019★ 2 cited

A parabolic approach to the control of opinion spreading

Domènec Ruiz-Balet, Enrique Zuazua

We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. We derive explicit exponential estimates on the cost of approximately controlling…

math.OC2018★ 17 cited

Phase portrait control for 1D monostable and bistable reaction-diffusion equations

Camille Pouchol, Emmanuel Trélat, Enrique Zuazua

We consider the problem of controlling parabolic semilinear equations arising in population dynamics, either in finite time or infinite time. These are the monostable and bistable…

math.OC2016★ 22 cited

Greedy controllability of finite dimensional linear systems

Martin Lazar, Enrique Zuazua

We analyse the problem of controllability for parameter-dependent linear finite-dimensional systems. The goal is to identify the most distinguished realisations of those parameters…

math.OC2015★ 1 cited

Null Controllability for Wave Equations with Memory

Qi Lu, Xu Zhang, Enrique Zuazua

We study the memory-type null controllability property for wave equations involving memory terms. The goal is not only to drive the displacement and the velocity (of the considered…