Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Germany
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My Publications
Gas pipeline flow that changes with time: Why are partial differential equation a good ...
Optimization and Engineering
October 2021
Operation of gas pipeline networks: How to satisfy the customer demand in 99% of all cases
Optimization and Engineering
April 2021
On the turnpike property with interior decay for optimal control problems
Mathematics of Control Signals and Systems
March 2021
Closed loop control of gas flow in a pipe: stability for a transient model
at - Automatisierungstechnik
November 2020
Probust constraints: A new concept do deal with uncertainty in constraints
Vietnam Journal of Mathematics
November 2020
Stabilization using feedback with a delay term
Vietnam Journal of Mathematics
February 2020
Transient Flow in Gas Pipeline Networks
January 2020
Optimal control with probabilistic constraints
SIAM Journal on Control and Optimization
January 2020
Convexity and starshapedness of feasible sets in stationary flow networks
Networks & Heterogeneous Media
January 2020
For certain source terms linear systems cannot be stabilized from the boundary!
Systems & Control Letters
September 2019
How static optimal control problems can help for the solution of dynamic optimal contro...
SIAM Journal on Control and Optimization
January 2019
Boundary control games with networks of vibrating strings
ESAIM Control Optimisation and Calculus of Variations
October 2018
Compressor Control in Gas Networks with Uncertain Loads: Probabilistic Constraints
Mathematical Problems in Engineering
September 2018
Traveling waves solutions for gas Pipeline flow
International Journal of Applied Mathematics and Computer Science
June 2018
Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential d...
Journal of Evolution Equations
May 2018
Lipschitz solutions of initial boundary value problems for balance laws
Mathematical Models and Methods in Applied Sciences
May 2018
Towards simulation based mixed-integer optimization with differential equations
Networks
March 2018
Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Bounda...
SIAM Journal on Control and Optimization
January 2018
On the Relaxation Approximation for $$2\times 2$$ Hyperbolic Balance Laws
January 2018
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
Computational Optimization and Applications
November 2017
The isothermal Euler equations for ideal gas with source term: Product solutions, flow ...
Journal of Mathematical Analysis and Applications
October 2017
Boundary feedback stabilization of the flow of gas through pipelines
Mathematical Control & Related Fields
January 2017
Coupling conditions for the transition from supersonic to subsonic fluid states
Networks & Heterogeneous Media
January 2017
Lipschitz continuity of the value function in mixed-integer optimal control problems
Mathematics of Control Signals and Systems
December 2016
Stationary states for networks of pipelines of real gas
Computational and Applied Mathematics
September 2016
How time delay in the implementation of an optimal control can destroy the performance
ESAIM Control Optimisation and Calculus of Variations
June 2016
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, bou...
Systems & Control Letters
April 2016
Exact penalization of terminal constraints in the objective functions of optimal contro...
Optimal Control Applications and Methods
February 2016
Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
Mathematical Problems in Engineering
January 2016
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks
Networks & Heterogeneous Media
October 2015
Stationary states in gas networks
Networks & Heterogeneous Media
April 2015
Boundary feedback stabilization of the Schlögl system
Automatica
January 2015
Exponential Stabilization of the Wave Equation by Dirichlet Integral Feedback
SIAM Journal on Control and Optimization
January 2015
Norm-minimal Neumann boundary control of the wave equation
Arabian Journal of Mathematics
July 2014
Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing da...
Systems & Control Letters
April 2014
Erratum: flow control in gas networks: exact controllability to a given demand
Mathematical Methods in the Applied Sciences
March 2014
Stabilization of Networked Hyperbolic Systems with Boundary Feedback
January 2014
Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for To...
Journal of Nanomechanics and Micromechanics
December 2013
A note on the approximation of Dirichlet boundary control problems for the wave equatio...
Applicable Analysis
October 2013
A smoothed penalty iteration for state constrained optimal control problems for partial...
Optimization
March 2013
Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying...
January 2013
On the relaxation approximation of boundary control of the isothermal Euler equations
International Journal of Control
November 2012
Feedback stabilization of quasilinear hyperbolic systems with varying delays
August 2012
H 2-stabilization of the Isothermal Euler equations: a Lyapunov function approach
Chinese Annals of Mathematics Series B
July 2012
Contamination Source Detection In Water Distribution Networks: A mathematical approach
SIAM Journal on Applied Mathematics
January 2012
Constrained Optimization and Optimal Control for Partial Differential Equations
January 2012
An example for the switching delay feedback stabilization of an infinite dimensional sy...
Systems & Control Letters
April 2011
A strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler eq...
Numerical Algebra Control & Optimization
January 2011
Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
SIAM Journal on Control and Optimization
January 2011
Time-delayed boundary feedback stabilization of the isothermal Euler equations with fri...
Mathematical Control & Related Fields
January 2011
Flow control in gas networks: Exact controllability to a given demand
Mathematical Methods in the Applied Sciences
November 2010
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
Networks & Heterogeneous Media
November 2010
Stabilizing a vibrating string by time delay
August 2010
The smoothed-penalty algorithm for state constrained optimal control problems for parti...
Optimization Methods and Software
August 2010
Boundary feedback stabilization by time delay for one-dimensional wave equations
IMA Journal of Mathematical Control and Information
April 2010
Approximation of Semigroups and Related Operator Functions by Resolvent Series
SIAM Journal on Numerical Analysis
January 2010
Stars of vibrating strings: Switching boundary feedback stabilization
Networks & Heterogeneous Media
January 2010
Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
SIAM Journal on Control and Optimization
January 2010
Optimal boundary control of the wave equation with pointwise control constraints
Computational Optimization and Applications
August 2009
Existence of classical solutions and feedback stabilization for the flow in gas networks
ESAIM Control Optimisation and Calculus of Variations
August 2009
Optimal distributed control of the wave equation subject to state constraints
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
June 2009
Global boundary controllability of the Saint-Venant system for sloped canals with friction
Annales de l Institut Henri Poincaré C Analyse Non Linéaire
January 2009
Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise Stat...
January 2009
Optimal switching boundary control of a string to rest in finite time
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
April 2008
L∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle
ESAIM Control Optimisation and Calculus of Variations
March 2008
Weber problems with mixed distances and regional demand
Mathematical Methods of Operations Research
June 2007
Optimal boundary feedback stabilization of a string with moving boundary
IMA Journal of Mathematical Control and Information
March 2007
Optimal Energy Control in Finite Time by varying the Length of the String
SIAM Journal on Control and Optimization
January 2007
Optimal Boundary Control in Flood Management
January 2007
Conservation law constrained optimization based upon Front-Tracking
ESAIM Mathematical Modelling and Numerical Analysis
September 2006
Optimal boundary control of a string to rest in finite time with continuous state
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
February 2006
Optimal Control for Traffic Flow Networks
Journal of Optimization Theory and Applications
September 2005
Lp-Optimal Boundary Control for the Wave Equation
SIAM Journal on Control and Optimization
January 2005
Global controllability between steady supercritical flows in channel networks
Mathematical Methods in the Applied Sciences
April 2004
Boundary Controllability between Sub- and Supercritical Flow
SIAM Journal on Control and Optimization
January 2003
Global boundary controllability of the de St. Venant equations between steady states
Annales de l Institut Henri Poincaré C Analyse Non Linéaire
January 2003
Analytic Solutions of L∞ Optimal Control Problems for the Wave Equation
Journal of Optimization Theory and Applications
August 2002
Computational Optimization and Applications
January 2002
Controllability of a slowly rotating Timoshenko beam
ESAIM Control Optimisation and Calculus of Variations
January 2001
Error bounds for infinite systems of convex inequalities without Slater’s condition
Mathematical Programming
August 2000
A Newton method for the computation of time-optimal boundary controls of one-dimensiona...
Journal of Computational and Applied Mathematics
January 2000
A parametric view on the Mangasarian-Fromovitz constraint qualification
Mathematical Programming
August 1999
Convex Semi-Infinite Parametric Programming: Uniform Convergence of the Optimal Value F...
Journal of Optimization Theory and Applications
April 1999
Prox-Regularization Methods for Generalized Fractional Programming
Journal of Optimization Theory and Applications
December 1998
Semi-infinite terminal problems: a newton type method
Optimization
January 1998
Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function
Journal of Optimization Theory and Applications
February 1997
A fast algorithm for Minimax Problems with Quotient structure.
Management Science
October 1996
The Newton differential correction algorithm for rational Chebyshev approximation with ...
Numerical Algorithms
March 1996
An Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators
Constructive Approximation
January 1996
One-sided derivatives for the value function in convex parametric programming
Optimization
January 1994
Nonlinear elasticity: existence theory under subdifferential constaints
Applicable Analysis
March 1993
Optimization under functional constraints (semi—infinite programming) and applications
January 1992
L1—Optimal Boundary Control of a String to Rest in Finite Time