Publications

Updated versions: arXiv, Google Scholar, Researchgate, or contact me

Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control

D. Kalise, K. Kunisch and Z. Rao (eds.)

Vol. 21 De Gruyter - Radon Series on Computational and Applied Mathematics, 2018,

[publisher]

Novel Directions in Optimization, Control and Games with Applications

M.S. Aronna, D. Kalise, and D. Tonon (eds.),

Lecture Notes in Mathematics, Springer, 2017,

[publisher]

Controlling swarms towards flocks and mills

with José A. Carrillo, Francesco Rossi and Emmanuel Trélat, 2021.

[arxiv]


Gradient-augmented Supervised Learning of Optimal Feedback Laws Using State-dependent Riccati Equations

with Sara Bicego and Giacomo Albi, 2021.

[arxiv]


Collisionless and Decentralized Formation Control for Strings

with Young-Pil Choi and Andrés Peters.

[arxiv]


Moment-Driven Predictive Control of Mean-Field Collective Dynamics

with Giacomo Albi, Michael Herty and Chiara Segala, 2021.

[arxiv]


Optimal Actuator Design for Vibration Control Based on LQR Performance and Shape Calculus

with M. Sajjad Edalatzadeh, Kirsten Morris and Kevin Sturm, 2021.

[arxiv]

Tensor Decomposition Methods for High-Dimensional Hamilton-Jacobi-Bellman Equations

with Sergey Dolgov and Karl Kunisch, to appear in SIAM J. Sci. Comput.

[arxiv]

Using mobility data in the design of optimal lockdown strategies for the COVID-19 pandemic

with Ritabrata Dutta, Susana Gomes and Lorenzo Pacchiardi, 2020.

[arxiv]


Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression

with Behzad Azmi and Karl Kunisch,

Journal of Machine Learning Research 22(48):1−32, 2021.

[arxiv, journal]

Reducing transatlantic flight emissions by fuel-optimised routing

with Nancy Nichols, Ian Poll, Cathie Wells and Paul Williams,

Environmental Research Letters 16(2), 2021.

[journal (open access)]


Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations

with Sudeep Kundu and Karl Kunisch,

SIAM Journal of Applied Dynamical Systems 19(2): 1496–1524, 2020.

[arxiv, journal]

Sparse and switching infinite horizon optimal control with nonconvex penalization

with Karl Kunisch and Zhiping Rao,

ESAIM: Control, Optimisation and Calculus of Variations 26(21), 2020.

[arxiv, journal]

On the implementation of a primal-dual algorithm for second order time-dependent mean field games with local couplings

with Luis Briceño-Arias, Ziad Kobeissi, Mathieu Lauriere, Álvaro Mateos- Gonzalez y Francisco Silva,

ESAIM: Proceedings and Surveys 65: 330-348, 2019.

[arxiv, journal]

Collisionless Singular Cucker-Smale Model with Decentralized Formation Control

with Young-Pil Choi, Andrés Peters and Jan Peszek,

SIAM Journal on Applied Dynamical Systems 18(4): 1954-1981, 2019

[arxiv, journal]

Optimal actuator design based on shape calculus

with Karl Kunisch and Kevin Sturm,

Mathematical Models and Methods in Applied Sciences 28(13): 2667-2717, 2018,

[arxiv, journal]

Optimal consensus control of the Cucker-Smale model

with José Carrillo, Mattia Bongini and Rafael Bailo,

IFAC-PapersOnline 51(3):1-6, 2018.

[arxiv, journal]

Suboptimal stabilization of agent-based dynamics through nonlinear feedback control synthesis

with Michael Herty,

Proceedings IEEE 14th International Conference on Control and Automation (ICCA): 556-561, 2018,

[preprint, journal]

Proximal methods for stationary Mean Field Games with local couplings

with Luis Briceño-Arias and Francisco J. Silva,

SIAM Journal on Control and Optimization 56(2): 801-836, 2018,

[arxiv, journal]

Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs

with Karl Kunisch,

SIAM Journal on Scientific Computing 40(2): A629-A652, 2018,

[arxiv, journal]

(Sub)Optimal feedback control of mean-field multi-population dynamics: a Boltzmann-Bellman approach

with Giacomo Albi,

IFAC-PapersOnLine 51(3): 86-91, 2018,

[arxiv, journal]

Mean field control hierarchy

with Giacomo Albi, Young-Pil Choi and Massimo Fornasier,

Applied Mathematics & Optimization 76(1):93--135, 2017,

[arxiv, journal]

Infinite horizon sparse optimal control

with Karl Kunisch and Zhiping Rao,

Journal of Optimization Theory and Applications 172(2): 481-517, 2017,

[arxiv, journal]

A Boltzmann approach to mean-field sparse feedback control

with Giacomo Albi and Massimo Fornasier,

IFAC-PapersOnLine 50(1):2898--2903, 2017,

[arxiv, journal]

Invisible control of self-organizing agents leaving unknown environments

with Giacomo Albi, Mattia Bongini and Emiliano Cristiani,

SIAM Journal on Applied Mathematics 76(4)(2016):1683--1710

[arxiv, journal]

Local minimization algorithms for dynamic programming equations

with Axel Kroener and Karl Kunisch,

SIAM Journal on Scientific Computing 38(3)(2016):A1587--A1615

[arxiv, journal]

Smoothened quasi-time-optimal control for the torsional torque in a two-mass system

with Esteban Fuentes and Ralph Kennel

IEEE Transactions on Industrial Electronics 63(6)(2016):3954--3963,

[arxiv, journal]

Ealier Publications (until 2016)

  1. A HJB-POD feedback synthesis approach for the wave equation

A. Alla, D. Kalise and M. Falcone

Bulletin of the Brazilian Mathematical Society 47(1)(2016), 51 - 64,

[pdf]


  1. Reduced-order LQG control of a Timoshenko beam model

P. Braun, E. Hernández and D. Kalise

Bulletin of the Brazilian Mathematical Society 47(1)(2016), 143 - 155,

[pdf,]


  1. Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equation

O. Bokanowski, M. Falcone, R. Ferretti, L. Gruene, D. Kalise and H. Zidani

Discrete and Continuous Dynamical Systems - Series A 35(9)(2015), 4041 - 4070,

[pdf]


  1. (Un)conditional consensus emergence under perturbed and decentralized feedback controls

M. Bongini, M. Fornasier and D. Kalise

Discrete and Continuous Dynamical Systems - Series A 35(9)(2015), 4071 - 4094,

[pdf]


  1. An efficient policy iteration algorithm for the solution of dynamic programming equations

A. Alla, M. Falcone and D. Kalise

SIAM Journal on Scientific Computing 37(1)(2015), 181-200,

[pdf]


  1. An accelerated value/policy iteration scheme for optimal control problems and games

A. Alla, M. Falcone and D. Kalise

Numerical Mathematics and Advanced Applications - ENUMATH 2013, LNCSE 103(2015), 489-497,

[pdf]


  1. Cascade-free predictive speed control for electrical drives

E. Fuentes, D. Kalise, R.M. Kennel and J. Rodríguez

IEEE Transactions on Industrial Electronics 61(5)(2014), 2176 - 2184,

[journal]


  1. A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Bellman-Isaacs equations

M. Falcone and D. Kalise

System Modeling and Optimization, Springer, 105-117 (2014),

[pdf,]


  1. A semi-Lagrangian scheme for Lp-penalized minimum time problems

M. Falcone, D. Kalise and A. Kroener

Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, 1798-1803 (2014),

[pdf]


  1. Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming

D. Kalise and A. Kroener

Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, 1196-1202 (2014),

[pdf]


  1. A WENO-TVD finite volume scheme for the approximation of atmospheric phenomena

D. Kalise

Hyperbolic Problems: Theory, Numerics, Applications, AIMS Series on Applied Mathematics 8(2014), 717-724,

[pdf]


  1. An accelerated policy iteration algorithm for the solution of dynamic programming equations

A. Alla, M. Falcone and D. Kalise

PAMM 13(1)(2013), 467-468,

[journal]


  1. Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

D. Kalise and I. Lie

Journal of Computational Physics 231(2012), 7274-7298,

[pdf]


  1. A locking-free scheme for the LQR control of a Timoshenko beam

E. Hernández, D. Kalise and E. Otárola

Journal of Computational and Applied Mathematics 235(5)(2011), 1383-1393,

[pdf]


  1. Numerical approximation of the LQR problem in a strongly damped wave equation

E. Hernández, D. Kalise and E. Otárola

Computational Optimization and Applications 47(1)(2010), 161-178,

[pdf]


  1. General requirement for harvesting antennae at Ca2+ and H+ sinks

F. Barros, D. Kalise and C. Martínez

Frontiers in Neuroenergetics (2010), 2-27,

[pdf]


  1. Current Sheet Thickness in the Plasma Focus Snowplow Model

J. Fernández, E. Hernández, D. Kalise, V. Muñoz, D. Pasten and M. Zambra

Journal of Plasma and Fusion Research Series 8(2009), 879-882,

[pdf]

Other Publications

  1. Featured Book Review, Crowds in equations: an introduction to the microscopic modeling of crowds

SIAM Rev. 62 (2020), no. 3, 729–731,

[journal]

  1. Multiscale optimal control of collective behavior phenomena, in Challenges in Optimal Control of Nonlinear PDE Systems

Oberwolfach Reports 15(2)(2018):941-1020,

[journal]

  1. A numerical study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena

[pdf]

  1. D. Kalise, I. Lie, and E.F. Toro. High-order finite volume schemes for layered atmospheric models

[pdf]


Monographs

  1. High-resolution schemes for the approximation of atmospheric phenomena

Ph.D. Thesis, University of Bergen, 163 pp. (2012)

[pdf]

  1. Modelamiento y control activo de vibraciones en estructuras delgadas (in Spanish)

Civil Mathematical Engineering Thesis, UTFSM (Chile), 89 pp. (2008)

[pdf]