Imperial College London

Dr Dante Kalise

Faculty of Natural SciencesDepartment of Mathematics

Honorary Lecturer
 
 
 
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Contact

 

d.kalise-balza Website

 
 
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Location

 

6M29Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
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25 results found

Kalise Balza DF, Kunisch K, Sturm K, Optimal actuator design based on shape calculus, Mathematical Models and Methods in Applied Sciences, ISSN: 1793-6314

Journal article

Bailo R, Bongini M, Carrillo JA, Kalise Det al., 2018, Optimal consensus control of the Cucker-Smale model, IFAC-PapersOnLine, Vol: 51, Pages: 1-6, ISSN: 2405-8963

We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth l1-norm control penalisations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach.

Journal article

Herty M, Kalise D, 2018, Suboptimal nonlinear feedback control laws for collective dynamics, International Conference in Control and Automation ICCA 2018, Publisher: IEEE, Pages: 556-561, ISSN: 1948-3449

We present feedback control methodologies for the stabilization of nonlinear collective dynamics. The proposed controllers circumvent the curse of dimensionality associated to dynamic programming of large-scale nonlinear dynamics by means of different structural assumptions on the nonlinearity and the associated Hamilton-Jacobi-Bellman equation. We explore a power series expansion method, and a state-dependent Riccati equation approach. The proposed designs are studied for a relaxed optimal power flow model, and for binary interactions arising in opinion and consensus dynamics.

Conference paper

Albi G, Kalise D, 2018, (Sub)Optimal feedback control of mean field multi-population dynamics, IFAC-PapersOnLine, Vol: 51, Pages: 86-91, ISSN: 2405-8963

We study a multiscale approach for the control of agent-based, two-population models. The control variable acts over one population of leaders, which influence the population of followers via the coupling generated by their interaction. We cast a quadratic optimal control problem for the large-scale microscale model, which is approximated via a Boltzmann approach. By sampling solutions of the optimal control problem associated to binary two-population dynamics, we generate sub-optimal control laws for the kinetic limit of the multi-population model. We present numerical experiments related to opinion dynamics assessing the performance of the proposed control design.

Journal article

Briceno-Arias LM, Kalise D, Silva FJ, 2018, PROXIMAL METHODS FOR STATIONARY MEAN FIELD GAMES WITH LOCAL COUPLINGS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 56, Pages: 801-836, ISSN: 0363-0129

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, Vol: 40, Pages: A629-A652, ISSN: 1064-8275

Journal article

Albi G, Choi Y-P, Fornasier M, Kalise Det al., 2017, Mean Field Control Hierarchy, APPLIED MATHEMATICS AND OPTIMIZATION, Vol: 76, Pages: 93-135, ISSN: 0095-4616

Journal article

Kalise D, Kunisch K, Rao Z, 2017, Infinite Horizon Sparse Optimal Control, JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, Vol: 172, Pages: 481-517, ISSN: 0022-3239

Journal article

Albi G, Fornasier M, Kalise D, 2017, A Boltzmann approach to mean-field sparse feedback control, IFAC PAPERSONLINE, Vol: 50, Pages: 2898-2903, ISSN: 2405-8963

Journal article

Fuentes E, Kalise D, Kennel RM, 2016, Smoothened Quasi-Time-Optimal Control for the Torsional Torque in a Two-Mass System, IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, Vol: 63, Pages: 3954-3963, ISSN: 0278-0046

Journal article

Braun P, Hernandez E, Kalise D, 2016, Reduced-order LQG control of a Timoshenko beam model, BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, Vol: 47, Pages: 143-155, ISSN: 1678-7544

Journal article

Alla A, Falcone M, Kalise D, 2016, A HJB-POD feedback synthesis approach for the wave equation, BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, Vol: 47, Pages: 51-64, ISSN: 1678-7544

Journal article

Kalise D, Kroener A, Kunisch K, 2016, LOCAL MINIMIZATION ALGORITHMS FOR DYNAMIC PROGRAMMING EQUATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol: 38, Pages: A1587-A1615, ISSN: 1064-8275

Journal article

Albi G, Bongini M, Cristiani E, Kalise Det al., 2016, INVISIBLE CONTROL OF SELF-ORGANIZING AGENTS LEAVING UNKNOWN ENVIRONMENTS, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 76, Pages: 1683-1710, ISSN: 0036-1399

Journal article

Bokanowski O, Falcone M, Ferretti R, Gruene L, Kalise D, Zidani Het al., 2015, VALUE ITERATION CONVERGENCE OF epsilon-MONOTONE SCHEMES FOR STATIONARY HAMILTON-JACOBI EQUATIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Vol: 35, Pages: 4041-4070, ISSN: 1078-0947

Journal article

Bongini M, Fornasier M, Kalise D, 2015, (UN)CONDITIONAL CONSENSUS EMERGENCE UNDER PERTURBED AND DECENTRALIZED FEEDBACK CONTROLS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Vol: 35, Pages: 4071-4094, ISSN: 1078-0947

Journal article

Alla A, Falcone M, Kalise D, 2015, An accelerated value/policy iteration scheme for optimal control problems and games, Lecture Notes in Computational Science and Engineering, Vol: 103, Pages: 489-497, ISSN: 1439-7358

© Springer International Publishing Switzerland 2015. We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems and differential games. The new scheme combines the advantages of value iteration and policy iteration methods by means of an efficient coupling. The method starts with a value iteration phase on a coarse mesh and then switches to a policy iteration procedure over a finer mesh when a fixed error threshold is reached.We present numerical tests assessing the performance of the scheme.

Journal article

Alla A, Falcone M, Kalise D, 2015, AN EFFICIENT POLICY ITERATION ALGORITHM FOR DYNAMIC PROGRAMMING EQUATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol: 37, Pages: A181-A200, ISSN: 1064-8275

Journal article

Alla A, Falcone M, Kalise D, 2015, An accelerated value/policy iteration scheme for optimal control problems and games, Lecture Notes in Computational Science and Engineering, Vol: 103, Pages: 489-497, ISSN: 1439-7358

© Springer International Publishing Switzerland 2015. We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems and differential games. The new scheme combines the advantages of value iteration and policy iteration methods by means of an efficient coupling. The method starts with a value iteration phase on a coarse mesh and then switches to a policy iteration procedure over a finer mesh when a fixed error threshold is reached.We present numerical tests assessing the performance of the scheme.

Journal article

Falcone M, Kalise D, 2014, A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Isaacs equations, IFIP Advances in Information and Communication Technology, Vol: 443, Pages: 105-117, ISSN: 1868-4238

© IFIP International Federation for Information Processing 2014. We present a numerical scheme for the approximation of Hamilton-Jacobi-Isaacs equations related to optimal control problems and differential games. In the first case, the Hamiltonian is convex with respect to the gradient of the solution, whereas the second case corresponds to a non convex (minmax) operator. We introduce a scheme based on the combination of semi-Lagrangian time discretization with a high-order finite volume spatial reconstruction. The high-order character of the scheme provides an efficient way towards accurate approximations with coarse grids. We assess the performance of the scheme with a set of problems arising in minimum time optimal control and pursuit-evasion games.

Journal article

Fuentes E, Kalise D, Rodriguez J, Kennel RMet al., 2014, Cascade-Free Predictive Speed Control for Electrical Drives, IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, Vol: 61, Pages: 2176-2184, ISSN: 0278-0046

Journal article

Kalise D, Lie I, 2012, Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 7274-7298, ISSN: 0021-9991

Journal article

Hernandez E, Kalise D, Otarola E, 2011, A locking-free scheme for the LQR control of a Timoshenko beam, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol: 235, Pages: 1383-1393, ISSN: 0377-0427

Journal article

Hernandez E, Kalise D, Otarola E, 2010, Numerical approximation of the LQR problem in a strongly damped wave equation, COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, Vol: 47, Pages: 161-178, ISSN: 0926-6003

Journal article

Martínez C, Kalise D, Barros LF, 2010, General requirement for harvesting antennae at ca and h channels and transporters., Front Neuroenergetics, Vol: 2

The production and dissipation of energy in cells is intimately linked to the movement of small molecules in and out of enzymes, channels, and transporters. An analytical model of diffusion was described previously, which was used to estimate local effects of these proteins acting as molecular sources. The present article describes a simple but more general model, which can be used to estimate the local impact of proteins acting as molecular sinks. The results show that the enzymes, transporters, and channels, whose substrates are present at relatively high concentrations like ATP, Na(+), glucose, lactate, and pyruvate, do not operate fast enough to deplete their vicinity to a meaningful extent, supporting the notion that for these molecules the cytosol is a well-mixed compartment. One specific consequence of this analysis is that the well-documented cross-talk existing between the Na(+)/K(+) ATPase and the glycolytic machinery should not be explained by putative changes in local ATP concentration. In contrast, Ca2(+) and H(+) transporters like the Na(+)/Ca2(+) exchanger NCX and the Na(+)/H(+) exchanger NHE, show experimental rates of transport that are two to three orders of magnitude faster than the rates at which the aqueous phase may possibly feed their binding sites. This paradoxical result implies that Ca2(+) and H(+) transporters do not extract their substrates directly from the bulk cytosol, but from an intermediate "harvesting" compartment located between the aqueous phase and the transport site.

Journal article

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