Prof. Dr. Martin Gugat


Friedrich-Alexander-Universität Erlangen-Nürnberg

Lehrstuhl II für Angewandte Mathematik
Department Mathematik
Cauerstr. 11
91058 Erlangen, Germany 

Phone: 

+49-9131 85 67130

 

 

 

gugat"a"t"mathdotfaudotde

Vorlesung: Einführung in die stetige Optimierung

Vorlesung: Parametrische Optimierung

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


  1. Gugat, M., Tröltzsch, F.: Boundary feedback stabilization of the Schlögl system

Automatica 51 (2015), 192-199.


  1. Gugat, M.: Norm-minimal Neumann boundary control of the wave equation

Arabian Journal of Mathematics (2014), DOI 10.1007/s40065-014-0110-9.


  1. Gugat, M.: Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term

Systems and Control Letters 66 (2014), 72-84.


  1. Gugat, M.: Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors

In: Journal of Nanomechanics and Micromechanics (2013).


  1. Dick, M.; Gugat, M., Leugering, G.: Feedback stabilization of quasilinear hyperbolic systems with varying delays.

In: Emirsajlow, Z. (Hrsg.) : Methods and Models in Automation and Robotics (MMAR) (17th International Conference on Methods and Models in Automation and Robotics (MMAR), Miedzyzdroje, Poland, 27. - 30. August 2012). 2012, S. 125-130. (IEEEXplore)


  1. Gugat, M.: Contamination Source Determination in Water Distribution Networks.

SIAM Journal on Applied Mathematics. (2012). 72 1772-1791. See the presentation in SIAM connect!


  1. Gugat, M.; Dick, M.: Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction.

Mathematical Control and Related Fields 1 (2011), Nr. 4, S. 469-491


  1. Gugat, M.; Sokolowski, J: A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains.

Applicable Analyis (2012)


  1. Gugat, M.; Leugering, G.; Tamasoiu, S. O.; Wang, Ke: H2-stabilization of the isothermal Euler equations: a Lyapunov function approach .

Chinese Annals of Mathematics, Series B 33 (2012), Nr. 4, S. 479-500


  1. Dick, Markus; Gugat, Martin; Herty, Michael; Steffensen, Sonja: On the relaxation approximation of boundary control of the isothermal Euler equations

International Journal of Control 85, 1766-1778 (2012)


  1. M. Gugat Closed Form Representations of Some Series in Darling's Model for Squeeze Film Damping with a Rectangular Plate

Applied Sciences 2, 479-484, 2012.


  1. M. Gugat and M. Dick and G. Leugering Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization

SIAM Journal on Control and Optimization 49, pp. 2101-2117, 2011(17 pages).


  1. V. Grimm and M. Gugat Approximation of Semigroups and Related Operator Functions by Resolvent Series

SIAM Journal on Numerical Analysis 48, pp. 1826-1845, 2010(20 pages).


  1. M. Dick, M. Gugat and G. Leugering Classical solutions and feedback stabilization for the gas flow in a sequence of pipes

Networks and Heterogeneous Media (NHM), Volume: 5, Number: 4 December 2010; pp. 691-709.


  1. M. Gugat, M.Tucsnak An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string

Systems & Control Letters 60, 226-230 (2011)


  1. M. Gugat, M. Herty, V. Schleper Flow control in gas networks: Exact controllability to a given demand

Mathematical Methods in the Applied Sciences 34, 745-757 (2011)


  1. M. Gugat Stabilizing a Vibrating String by Time Delay

15th International Conference on Methods and Models in Automation and Robotics (MMAR), 2010, Miedzyzdroje, Polen, pp. 144-147. (2010)


  1. M. Gugat, M. Sigalotti Stars of Vibrating Strings: Switching Boundary Feedback Stabilization

Networks and Heterogeneous Media, Volume 5, Number 2, June 2010, pp. 299-314. (2010)


  1. M. Gugat Boundary feedback stabilization by time delay for one-dimensional wave equations

IMA Journal of Mathematical Control and Information, Vol. 27, No. 2, 189-203 (2010)


  1. M. Gugat Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation

SIAM Journal on Control and Optimization (2009)


  1. M. Gugat, M. Herty Existence of classical solutions and feedback stabilization for the flow in gas networks

ESAIM: Control, Optimisation and Calculus of Variations, 17 (2011), 28-51


  1. M. Gugat, M. Herty The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations

Optimization Methods and Software, Vol. 18, Issue 1, 573-599 (2010)


  1. M. Gugat, V. Grimm Optimal boundary control of the wave equation with pointwise control constraints

Comput. Optim. Appl., (2009)


  1. M. Gugat Lavrentiev-prox-regularization for optimal control of PDEs with state constraints

Comput. Appl. Math., Volume 28 Issue 2, 231 - 257 (2009)


  1. M. Gugat, A. Keimer, G. Leugering Optimal distributed control of the wave equation subject to state constraints

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 89 Issue 4, 420 - 444 (2009)


  1. M. Gugat, G. Leugering Global boundary controllability of the Saint-Venant system for sloped canals with friction

Annales de l'Institut Henri Poincare (C) Non Linear Analysis 26 (2009), pp. 257-270 (2008)


  1. M. Gugat Optimal switching boundary control of a string to rest in finite time

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.


  1. M. Gugat, Optimal Energy Control in finite Time by varying the Length of the String

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.

  1. M. Gugat, Optimal boundary feedback stabilization of a string with moving boundary

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

  1. M. Gugat, Optimal boundary control of a string to rest in finite time with continuous state

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.


  1. M. Gugat, L1 optimal boundary control of a string to rest in finite time

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


  1. M. Gugat, Optimal Control of Networked Hyperbolic Systems: Evaluation of Derivatives

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


  1. M. Gugat, G. Leugering, E.J.P.G. Schmidt Global controllability between steady supercritical flows in channel networks,

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


  1. M. Gugat, Boundary Controllability between Sub- and Supercritical Flow,

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

Ann. I. H. Poincaré - AN, Vol. 20, No. 1 (2003) pp. 1-11.


  1. M. Gugat and G. Leugering, Solutions of L^p-norm minimal control problems for the wave equation

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


  1. M. Gugat, Analytic solutions of L^\infty-optimal control problems for the wave equation

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.


  1. M. Gugat, Error bounds for infinite systems of convex inequalities without Slater's condition

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.


  1. M. Gugat, A parametric view on the Mangasarian-Fromovitz constraint qualification

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.


  1. M. Gugat, An Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators

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


  1. M. Gugat, Fast Algorithm for a Class of Generalized Fractional Programs

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).


 

 




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