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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.