# Prof. Dr. Martin Gugat

 Phone: +49-9131 85 67130 gugat"a"t"mathdotfaudotde

## Research Interests

A vibrating string, fixed at one end is controlled to rest by Neumann boundary control with minimal L2-norm at the other end.

## Some Publications

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 88 Issue 4, 283 - 305 (2008)

1. M. Gugat Optimal Switching Boundary Control

Oberwolfach Reports: Optimal control of Coupled Systems of PDE, K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch eds. (2008)

1. M. Gugat, G. Leugering Norm Minimal Control of the wave equation: On the weakness of the bang--bang principle

ESAIM: Control, Optimisation and Calculus of Variations 14, 254-283, 2008 (DOI: 10.1051/cocv:2007044).

1. M. Gugat, M. Sigalotti, M. Tucsnak Robustness Analysis for the boundary control of the string equation

Proceedings of the 9th European Control Conference, Kos, Greece, 2007. (EUCA, 9th European Control Conference, Kos, 2007). 2007.

SIAM Journal on Control and Optimization 46, 1705-1725, 2007.

1. C. Hopfgartner, M. Gugat, G. Leugering, J. Hornegger Intensity based Three-Dimensional Reconstruction with Nonlinear Optimization

ICGST International Journal on Graphics, Vision and Image Processing, GVIP, 2010, Volume 10, pp. 27-37.

IMA Journal of Mathematical Control and Information 25 (2008), 111-121.

1. M. Gugat, M. Herty, A. Klar, G. Leugering, Conservation Law Constrained Optimization based upon Front-Tracking

M2AN, Mathematical Modelling and Numerical Analysis, Vol. 40 (2007), pp. 939-960.

The original publication is available at www.edpsciences.org/m2an

ZAMM, Vol. 86 (2006) pp. 134-150.

1. M. Gugat, G. Leugering, G. Sklyar, Lp optimal boundary control for the wave equation

SIAM Journal on Control and Optimization, Vol. 44 (2005) pp. 49-74.

Oberwolfach Report 2(2005), 69-133: Optimization and applications. .

Advanced Modeling and Optimization, Vol. 7 (2005) pp. 9-37.

1. M. Gugat, G. Leugering, E.J.P.G. Schmidt

Math. Meth. Appl. Sc., Vol. 27 (2004) pp. 781-802.

SIAM Journal on Control and Optimization, Vol. 42 (2003) pp. 1056-1070.

1. M. Gugat and G. Leugering, Global Boundary Controllability of the de St. Venant Equations Between Steady States

Computational and Applied Mathematics, Vol. 21, No. 1 (2002) pp. 227-244.

Journal of Optimization Theory and Applications, Vol. 114, No. 2 (2002) pp. 397-421.

1. M. Gugat and G. Leugering, Regularization of $L^\infty$-optimal control problems for distributed parameter systems

Computational Optimization and Applications, Vol. 22, No. 2 (2002) pp. 151-192.

1. M. Gugat, Controllability of a slowly rotating Timoshenko beam

ESAIM: Control, Optimisation and Calculus of Variations, Vol. 6 (2001) p. 333-361.

Mathematical Programming, Vol. 88, No. 2 (2000) pp. 255-275.

1. M. Gugat, A Newton Method for the Computation of Time-Optimal Boundary Controls of One-Dimensional Vibrating Systems

Journal of Computational and Applied Mathematics, Vol. 114, No. 1 (2000) pp. 103-119.

Mathematical Programming, Vol. 85, No. 3 (1999) pp. 643-653.

1. M. Gugat, Time-Parametric Control: Uniform Convergence of the optimal value functions of the discretized problems

Control and Cybernetics, Vol. 28, No. 1 (1999) pp. 7-33.

1. M. Gugat, Prox-Regularization Methods for Generalized Fractional Programming

Journal of Optimization Theory and Applications, Vol. 99, No. 3 (1998) pp. 691-722.

1. M. Gugat, Semi-Infinite Terminal Problems: A Newton-Type Method

Optimization, Vol. 44 (1998) pp. 25-48.

1. M. Gugat, Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function

Journal of Optimization Theory and Applications, Vol. 92, No. 2 (1997) pp. 287-313.

Constructive Approximation, Vol. 12, No. 2 (1996) pp. 197-222.

Management Science, Vol. 42, No. 10 (1996) pp. 1493-1499.

1. M. Gugat, The Newton Differential Correction Algorithm for Uniform Rational Approximation with Constrained Denominators

Numerical Algorithms, Vol. 13 (1996) pp. 107-122.

1. M. Gugat, One-Sided Derivatives for the Value function in Convex Parametric Programming

Optimization, Vol. 28 (1994) pp. 301-314.

1. R. Hettich, M. Gugat, Optimization under functional constraints (semi-infinite programming) and applications

Modern Methods of Optimization: Proceedings of the summer school "Modern Methods of Optimization", held at the Schloss Thurnau of the University of Bayreuth, FRG, October 1-6, 1990, W. Krabs, J. Zowe (eds.), Springer Verlag, 90-126 (1992).