### Peer reviewed publications

- A. Alla, C. Graessle, M. Hinze

*A-posteriori snapshot location for POD in optimal control of linear parabolic equations.*

in press in ESAIM:M2AN. - A. Alla, M. Falcone, S. Volkwein.

*Error Analysis for POD approximations of infinite horizon problems via the dynamic programming principle.*

SIAM J. Control Optim., 55, 2017, 3091-3115. - A. Alla, J. Nathan Kutz.

*Nonlinear model order reduction via Dynamic Mode Decomposition.*

SIAM J. Sci. Comput., 39(5), 2017, 778-796. - A. Alla, M. Falcone, D. Kalise.

*A HJB-POD feedback synthesis approach for wave equation.*

Bulletin of the Brazilian Mathematical Society, New Series, March 2016, Volume 47, Issue 1, 51-64. - A. Alla, M. Falcone, D. Kalise.

*An efficient Policy Iteration algorithm for dynamic programming equations.*

SIAM J. Sci. Comput., 37 (1), 2015, 181-200.

- A. Alla, S. Volkwein.

*Asymptotic Stability and Suboptimality of Model Predictive Control for semilinear PDEs.*

in Advances in Computational Mathematics, Springer US, 41, 2015, 1073-1102.

### Conference Papers

- A. Alla, V. Simoncini

*Order reduction approaches for the algebraic Riccati equation and the LQR problem.*

to appear in NUMOC Proceedings, 2018. - J.N. Kutz, S. Rudy, A. Alla, S. Brunton.

*Data-driven discovery of governing physical laws and their parametric dependencies in engineering, physics and biology.*

in Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2017 IEEE 7th International Workshop on . - A. Alla, C. Graessle, M. Hinze.

*Snapshot location for POD in control of a linear heat equation.*

PAMM. Volume 16, Issue 1. 2016, 781–782. - A. Alla, G. Fabrini, M. Falcone.

*A HJB-POD approach to the control of the level set equation.*

In: Benner P., Ohlberger M., Patera A., Rozza G., Urban K. (eds) Model Reduction of Parametrized Systems. MS&A (Modeling, Simulation and Applications), vol 17. Springer, Cham, 2017, 317-331. - A. Alla, A. Schmidt, B. Haasdonk.

*Model order reduction approaches for infinite horizon optimal control problems via the HJB equation.*

In: Benner P., Ohlberger M., Patera A., Rozza G., Urban K. (eds) Model Reduction of Parametrized Systems. MS&A (Modeling, Simulation and Applications), vol 17. Springer, Cham, 2017, 333-347. - A. Alla, C. Graessle, M. Hinze.

*A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations .*

Conference Proceedings of the 2nd Conference on Control of Partial Differential Equations, 49, 2016, 13-18. - A. Alla, U. Matthes.

*Model order reduction for a linearized robust PDE constrained optimization.*

Conference Proceedings of the 2nd Conference on Control of Partial Differential Equations, 49, 2016, 321-326. - A. Alla, G. Fabrini, M. Falcone.

*Coupling MPC and DP methods for an efficient solution of optimal control problems.*

In: Bociu L., Désidéri JA., Habbal A. (eds) System Modeling and Optimization. CSMO 2015. IFIP Advances in Information and Communication Technology, vol 494. Springer, Cham, 2017, 68-77. - A. Alla, M. Hinze.

*HJB-POD feeback control of advection-diffusion equation with a model predictive control snapshot sampling.*

Conference Proceedings of the 5th IFAC Conference on Nonlinear Model Predictive Control. - A. Alla, M. Hinze, O. Lass, S. Ulbrich.

*Model order reduction approaches for the optimal design of permanent magnets in electro-magnetic machines.*

in Conference Proceedings of MATHMOD 2015. - A. Alla, M. Hinze.

*HJB-POD feedback control for Navier-Stokes equations.*

Conference Proceedings of ECMI 2014. - A. Alla, M. Falcone, D. Kalise.

An accelerated value/policy iteration scheme for the solution of DP equations.

Numerical Mathematics and Advanced Applications – ENUMATH 2013, LNCSE 103, 2015, 489-497. - A. Alla, M. Falcone, D. Kalise.

*An efficient Policy Iteration algorithm for dynamic programming equations.*

PAMM, Volume 13, Issue 1, pp. 467-468, 2013. - A. Alla, M. Falcone.

*A time adaptive POD method for optimal control problems.*

Control of Systems Governed by Partial Differential Equations, Vol. 1, pp. 245-250, 2013. - A. Alla, M. Falcone.

*An adaptive POD approximation method for the control of advection-diffusion equations.*

Control and Optimization with PDE Constraints, K. Kunisch, K. Bredies, C. Clason, G. von Winckel (eds), International Series of Numerical Mathematics, Vol. 164, pp 1-17, Birkhäuser, Basel, 2013.

### PhD Thesis

- Model Reduction for a Dynamic Programming Approach to optimal control problems with PDE constraints.

### Submitted Papers

- A. Alla, J.N. Kutz

*Randomized Model Order Reduction.*

Submitted to Advances in Computational Mathematics. - A. Alla, M. Hinze, O. Lass, S. Ulbrich

*A Certified Model Reduction Approach for robust optimal control with PDE constraints.*

Submitted to Advances in Computational Mathematics. - A. Alla, B. Haasdonk, A. Schmidt

*Feedback control of parametrized PDEs via model order reduction and dynamic programming principle.*

Submitted to SIAM J. Sc. Comput., 2017. - S. Rudy, A. Alla, S. Brunton, J.N. Kutz

*Data-driven identification of parametric partial differential equations.*

Submitted to SIAM Journal on Applied Dynamical Systems, 2018. - M. Hess, A. Alla, A. Quaini, G. Rozza, M. Gunzburger

*A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions.*

Submitted to SIAM J. Sc. Comput., 2018. - A.Alla, M. Falcone, L. Saluzzi

*An efficient DP algorithm on a tree-structure for finite horizon optimal control problems.*

Submitted to SIAM J. Sc. Comput., 2018.

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