Most relevant papers for the proposal

A good starting point and survey of our research activities is my habilitation thesis from 2011.

• [S1] Scholz, E.P., Kehrle, F., Vossel, S., Hess, A., Zitron, E., Katus, H.A., Sager, S. (2014). Discriminating atrial flutter from atrial fibrillation using a multilevel model of atrioventricular conduction. Heart Rhythm, Vol. 11(5), pp. 877-884.
• [S2] Engelhart, M., Lebiedz, D., & Sager, S. (2011). Optimal control for cancer chemotherapy ODE models: Potential of optimal schedules and choice of objective function. Mathematical Biosciences, Vol. 229(1), 123-134.
• [S3] Sager, S., Reinelt, G., & Bock, H.G. (2009). Direct methods with maximal lower bound for mixed-integer optimal control problems. Mathematical Programming A, Vol. 118(1), pp. 109-149.
• [S4] Sager, S. (2009). Reformulations and algorithms for the optimization of switching decisions in nonlinear optimal control. Journal of Process Control, Vol. 19, pp. 1238-1247.
• [S5] Sager, S. (2013). Sampling Decisions in Optimum Experimental Design in the Light of Pontryagin’s Maximum Principle. SIAM Journal on Control and Optimization, Vol. 51(4), pp. 3181-3207.
• [S6] Sager, S., Barth, C., Diedam, H., Engelhart, M., & Funke, J. (2011). Optimization as an analysis tool for human complex problem solving. SIAM Journal on Optimization, Vol. 21(3), 936-959.
• [S7] Sager, S., Bock, H.G., & Diehl, M. (2012). The integer approximation error in mixed-integer optimal control. Mathematical Programming A, Vol. 133(1), pp. 1-23.
• [S8] Sager, S., Jung, M., & Kirches, C. (2011). Combinatorial integral approximation. Mathematical Methods for Operations Research, Vol. 73(3), pp. 363-380
• [S9] Engelhart, M., Funke, J., Sager, S. (2013). A Decomposition Approach for a New Test-Scenario in Complex Problem Solving. Journal of Computational Science, Vol. 4(4), pp. 245-254.
• [S10] Huschto, T., Sager, S. (2014). Solving Stochastic Optimal Control Problems by a Wiener Chaos Approach. Vietnam Journal of Mathematics, Vol. 42(1), pp. 83-113.
• [S11] Kirches, C., Bock, H.G., Schlöder, J.P., & Sager, S. (2011). A factorization with update procedures for a KKT matrix arising in direct optimal control. Mathematical Programming C, Vol. 3(4), 319-348.
• [S12] Sager, S. (2012). A benchmark library of mixed-integer optimal control problems. Eds. Lee, J., Leyffer, S., Mixed Integer Nonlinear Programming, Springer, ISBN 978-1-4614-1926-6, 631-670.
• [S13] Slaby, O., Sager, S., Shaik, O.S., Kummer, U., & Lebiedz, D. (2007). Optimal control of self-organized dynamics in cellular signal transduction. Mathematical and Computer Modelling of Dynamical Systems, Vol. 13, pp. 487-502.
• [S14] Shaik, O.S., Sager, S., Slaby, O., & Lebiedz, D. (2008). Phase tracking and restoration of circadian rhythms by model-based optimal control. IET Systems Biology, Vol. 2, pp. 16-23.
• [S15] Jung, M.N., Kirches, C., Sager, S. (2013). On perspective functions and vanishing constraints in mixed-integer nonlinear optimal control. Eds. Jünger, M., Reinelt, G., Facets of Combinatorial Optimization, Springer, ISBN 978-3-642-38188-1, pp. 387-417.
• [S16] Hante, F., Sager, S. (2013). Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations. Computational Optimization and Applications, Vol. 55(1), pp. 197-225.
• [S17] Kirches, C., Potschka, A., Bock, H.G., Sager, S. (2013). A Parametric Active Set Method for QPs with Vanishing Constraints Arising in a Robot Motion Planning Problem. Pacific Journal of Optimization, Vol. 9(2), pp. 275-299.

Further papers of my group and links to pdfs can be found on this page.