### Peer reviewed publications

- A. Alla, M. Falcone, S. Volkwein.

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

to appear in SIAM Journal on Control and Optimization, 2015. - A. Alla, J. Nathan Kutz.

*Nonlinear model order reduction via Dynamic Mode Decomposition.*

to appear SIAM Journal on Scientific Computing, 2016. - 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, 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.*

to appear in Conference Proceedings of Model Reduction of Parametrized Systems III (MoRePas III), 2016. - A. Alla, A. Schmidt, B. Haasdonk.

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

to appear in Conference Proceedings of Model Reduction of Parametrized Systems III (MoRePas III), 2016. - 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.*

to appear in Conference Proceedings of IFIP 2015. - 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, C. Graessle, M. Hinze

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

Submitted to ESAIM:M2AN. - 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.

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