Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation

Author:

Alla Alessandro,Schmidt Andreas,Haasdonk Bernard

Publisher

Springer International Publishing

Reference24 articles.

1. Alla, A., Falcone, M.: An adaptive POD approximation method for the control of advection-diffusion equations. In: K. Kunisch, K. Bredies, C. Clason, G. von Winckel (eds.) Control and Optimization with PDE Constraints. International Series of Numerical Mathematics, vol. 164, pp. 1–17. Birkhäuser, Basel (2013)

2. Alla, A., Falcone, M., Kalise, D.: An efficient policy iteration algorithm for dynamic programming equations,. SIAM J. Sci. Comput. 37, 181–200 (2015)

3. Alla, A., Falcone, M., Volkwein, S.: Error Analysis for POD approximations of infinite horizon problems via the dynamic programming principle. SIAM J. Control Optim. (to appear)

4. Alla, A., Falcone, M., Kalise, D.: A HJB-POD feedback synthesis approach for wave equation. Bull. Braz. Math. Soc. New Ser. 47, 51–64 (2016)

5. Antoulas, A.C.: Approximation of Large-Scale Dynamical Systems. Society for Industrial and Applied Mathematics, Philadelphia, PA (2005)

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