J. Lohéac, E. Trélat, E. Zuazua. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An. (2020). DOI: j.anihpc.2020.07.004 Abstract. We consider the controllability problem…
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WP6: Finite versus infinite-dimensional dynamical systems (FI)
Shape turnpike for linear parabolic PDE models
G. Lance, E. Trélat, E. Zuazua. Shape turnpike for linear parabolic PDE models Syst. Control. Lett. Vol. 142 (2020). DOI: 10.1016/j.sysconle.2020.104733 Abstract: We introduce and…
View More Shape turnpike for linear parabolic PDE modelsA stochastic approach to the synchronization of coupled oscillators
Umberto Biccari, Enrique Zuazua. A stochastic approach to the synchronization of coupled oscillators. Frontiers in Energy Research, section Smart Grids. Front. Energy Res. Vol. 8 (2020).…
View More A stochastic approach to the synchronization of coupled oscillatorsAsymptotic behavior and control of a “guidance by repulsion” model
Dongnam Ko, E. Zuazua, Asymptotic behavior and control of a “guidance by repulsion” model. Math Models Methods Appl. Sci. Vol. 30, No. 04, pp. 765-804…
View More Asymptotic behavior and control of a “guidance by repulsion” modelStochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises
Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu, . Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Math Models…
View More Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noisesModel predictive control with random batch methods for a guiding problem
Dongnam Ko, Enrique Zuazua. Model predictive control with random batch methods for a guiding problem (2020) Abstract. We model, simulate and control the guiding problem…
View More Model predictive control with random batch methods for a guiding problemEmergent collective behaviors of stochastic kuramoto oscillators
Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang. Emergent collective behaviors of stochastic kuramoto oscillators. Vol. 25, No. 3, pp. 1059-1081 (2020) DOI: 10.3934/dcdsb.2019208 Abstract.…
View More Emergent collective behaviors of stochastic kuramoto oscillatorsKolmogorov Equation Freefem++ code
Download Code related to the Kolmogorov Equation problem.
Developed by Mehmet Ersoy & Enrique Zuazua.
Kolmogorov equation
Read PDF version | Download Code 1 Introduction We are interested in the numerical discretization of the Kolmogorov equation [12] where $\mu>0$ is a diffusive function…
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Optimal control applied to collective behaviour
The standard approach for solving a driving problem is a leadership strategy, based on the attraction that a driver agent exerts on other agent. Repulsion forces are mostly used for collision avoidance, defending a target or describing the need for personal space. We present a “guidance by repulsion” model describing the behaviour of two agents, a driver and an evader…
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