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A collisionless singular cucker-smale model with decentralized formation control (2019)
Journal Article
Peters, A. A., Choi, Y., Kalise, D., & Peszek, J. (2019). A collisionless singular cucker-smale model with decentralized formation control. SIAM Journal on Applied Dynamical Systems, 18(4), 1954-1981. https://doi.org/10.1137/19M1241799

We address the design of decentralized feedback control laws inducing consensus and prescribed spatial patterns over a singular interacting particle system of Cucker-Smale type. The control design consists of a feedback term regulating the distance b... Read More about A collisionless singular cucker-smale model with decentralized formation control.

On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings (2019)
Journal Article
Briceño-Arias, L., Kalise, D., Kobeissi, Z., Laurière, M., Mateos González, Á., & Silva, F. (2019). On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings. ESAIM. Proceedings and surveys, 65, 330-348. doi:10.1051/proc/201965330

We study a numerical approximation of a time-dependent Mean Field Game (MFG) system with local couplings. The discretization we consider stems from a variational approach described in [14] for the stationary problem and leads to the finite difference... Read More about On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings.

Optimal actuator design based on shape calculus (2018)
Journal Article
Kalise, D., Kunisch, K., & Sturm, K. (2018). Optimal actuator design based on shape calculus. Mathematical Models and Methods in Applied Sciences, 28(13), 2667-2717. https://doi.org/10.1142/S0218202518500586

An approach to optimal actuator design based on shape and topology optimization techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condi... Read More about Optimal actuator design based on shape calculus.

Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES (2018)
Journal Article
Kalise, D., & Kunisch, K. (2018). Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES. SIAM Journal on Scientific Computing, 40(2), A629-A652. https://doi.org/10.1137/17M1116635

© 2018 Society for Industrial and Applied Mathematics. A procedure for the numerical approximation of high-dimensional Hamilton–Jacobi–Bellman (HJB) equations associated to optimal feedback control problems for semilinear parabolic equations is propo... Read More about Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES.

Proximal methods for stationary mean field games with local couplings (2018)
Journal Article
Briceño-Arias, L. M., Kalise, D., & Silva, F. J. (2018). Proximal methods for stationary mean field games with local couplings. SIAM Journal on Control and Optimization, 56(2), 801-836. https://doi.org/10.1137/16M1095615

© 2018 Society for Industrial and Applied Mathematics. We address the numerical approximation of mean field games with local couplings. For power-like Hamiltonians, we consider a stationary system and also a system involving density constraints model... Read More about Proximal methods for stationary mean field games with local couplings.

Infinite Horizon Sparse Optimal Control (2016)
Journal Article
Kalise, D., Kunisch, K., & Rao, Z. (2017). Infinite Horizon Sparse Optimal Control. Journal of Optimization Theory and Applications, 172(2), 481-517. https://doi.org/10.1007/s10957-016-1016-9

A class of infinite horizon optimal control problems involving nonsmooth cost functionals is discussed. The existence of optimal controls is studied for both the convex case and the nonconvex case, and the sparsity structure of the optimal controls p... Read More about Infinite Horizon Sparse Optimal Control.

Invisible control of self-organizing agents leaving unknown environments (2016)
Journal Article
Albi, G., Bongini, M., Cristiani, E., & Kalise, D. (2016). Invisible control of self-organizing agents leaving unknown environments. SIAM Journal on Applied Mathematics, 76(4), 1683-1710. https://doi.org/10.1137/15M1017016

© 2016 Society for Industrial and Applied Mathematics. In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We fi... Read More about Invisible control of self-organizing agents leaving unknown environments.

Local minimization algorithms for dynamic programming equations (2016)
Journal Article
Kalise, D., Kröner, A., & Kunisch, K. (2016). Local minimization algorithms for dynamic programming equations. SIAM Journal on Scientific Computing, 38(3), A1587-A1615. https://doi.org/10.1137/15M1010269

© 2016 Society for Industrial and Applied Mathematics. The numerical realization of the dynamic programming principle for continuous-time optimal control leads to nonlinear Hamilton-Jacobi-Bellman equations which require the minimization of a nonline... Read More about Local minimization algorithms for dynamic programming equations.

Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations (2015)
Journal Article
Bokanowski, O., Falcone, M., Ferretti, R., Grüne, L., Kalise, D., & Zidani, H. (2015). Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4041-4070. https://doi.org/10.3934/dcds.2015.35.4041

We present an abstract convergence result for the fixed point approximation of stationary Hamilton-Jacobi equations. The basic assumptions on the discrete operator are invariance with respect to the addition of constants, ε-monotonicity and consisten... Read More about Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations.

An Efficient Policy Iteration Algorithm for Dynamic Programming Equations (2015)
Journal Article
Alla, A., Falcone, M., & Kalise, D. (2015). An Efficient Policy Iteration Algorithm for Dynamic Programming Equations. SIAM Journal on Scientific Computing, 37(1), A181-A200. https://doi.org/10.1137/130932284

© 2015 Society for Industrial and Applied Mathematics. We present an accelerated algorithm for the solution of static Hamilton–Jacobi–Bellman equations related to optimal control problems. Our scheme is based on a classic policy iteration procedure,... Read More about An Efficient Policy Iteration Algorithm for Dynamic Programming Equations.

(UN)conditional consensus emergence under perturbed and decentralized feedback controls (2015)
Journal Article
Bongini, M., Fornasier, M., & Kalise, D. (2015). (UN)conditional consensus emergence under perturbed and decentralized feedback controls. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4071-4094. https://doi.org/10.3934/dcds.2015.35.4071

We study the problem of consensus emergence in multi-agent systems via external feedback controllers. We consider a set of agents interacting with dynamics given by a Cucker-Smale type of model, and study its consensus stabilization by means of centr... Read More about (UN)conditional consensus emergence under perturbed and decentralized feedback controls.

Cascade-free predictive speed control for electrical drives (2013)
Journal Article
Fuentes, E., Kalise, D., Rodriguez, J., & Kennel, R. M. (2014). Cascade-free predictive speed control for electrical drives. IEEE Transactions on Industrial Electronics, 61(5), 2176-2184. https://doi.org/10.1109/TIE.2013.2272280

This paper presents the design of a predictive speed controller for electrical drives. The control scheme does not have a cascaded structure; instead, it uses a single optimization algorithm to generate the control action to be applied at the next sa... Read More about Cascade-free predictive speed control for electrical drives.