A Fast Algorithm for a Class of Generalized Fractional Programs

A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems

A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains

A smoothed penalty iteration for state constrained optimal control problems for partial differential equations

article by Martin Gugat & Michael Herty published March 2013 in Optimization

A strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction

An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string

Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks

Analytic Solutions of L∞ Optimal Control Problems for the Wave Equation

Approximation of Semigroups and Related Operator Functions by Resolvent Series

Boundary Controllability between Sub- and Supercritical Flow

Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data

Boundary feedback stabilization by time delay for one-dimensional wave equations

scientific article published on 22 April 2010

Boundary feedback stabilization of the Schlögl system

Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term

Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms

Classical solutions and feedback stabilization for the gas flow in a sequence of pipes

scientific article published in 2010

Conservation law constrained optimization based upon Front-Tracking

article by Martin Gugat et al published September 2006 in ESAIM: Mathematical Modelling and Numerical Analysis

Contamination Source Determination in Water Distribution Networks

Controllability of a slowly rotating Timoshenko beam

Convex Semi-Infinite Parametric Programming: Uniform Convergence of the Optimal Value Functions of Discretized Problems

Convexity and starshapedness of feasible sets in stationary flow networks

article by Martin Gugat et al published 2020 in Networks & Heterogeneous Media

Coupling conditions for the transition from supersonic to subsonic fluid states

Dynamic boundary control games with networks of strings

Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors

Erratum: flow control in gas networks: exact controllability to a given demand

scientific article published on 27 March 2014

Error bounds for infinite systems of convex inequalities without Slater’s condition

Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State

Exact penalization of terminal constraints for optimal control problems

Existence of classical solutions and feedback stabilization for the flow in gas networks

Exponential Stability for the Schlögl System by Pyragas Feedback

Exponential Stabilization of the Wave Equation by Dirichlet Integral Feedback

Feedback stabilization of quasilinear hyperbolic systems with varying delays

Flow control in gas networks: Exact controllability to a given demand

Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization

Global boundary controllability of the Saint-Venant system for sloped canals with friction

Global boundary controllability of the de St. Venant equations between steady states

Global controllability between steady supercritical flows in channel networks

H 2-stabilization of the Isothermal Euler equations: a Lyapunov function approach

L1—Optimal Boundary Control of a String to Rest in Finite Time

Lipschitz continuity of the value function in mixed-integer optimal control problems ⬇️

Lipschitz solutions of initial boundary value problems for balance laws

Lp-Optimal Boundary Control for the Wave Equation

L∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle

MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems

article by Martin Gugat et al published 25 November 2017 in Computational Optimization and Applications

Networks of pipelines for gas with nonconstant compressibility factor: stationary states

article by Martin Gugat et al published 20 September 2016 in Computational and Applied Mathematics

Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $H^2$-lyapunov function

Norm-minimal Neumann boundary control of the wave equation

On the Relaxation Approximation for 2\times 2 Hyperbolic Balance Laws

On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems

On the limits of stabilizability for networks of strings

On the relaxation approximation of boundary control of the isothermal Euler equations

One-sided derivatives for the value function in convex parametric programming

scientific article published in January 1994

Optimal Control for Traffic Flow Networks

Optimal Energy Control in Finite Time by varying the Length of the String

Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints

Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property

Optimal boundary control of a string to rest in finite time with continuous state

Optimal boundary control of the wave equation with pointwise control constraints

Optimal boundary feedback stabilization of a string with moving boundary

Optimal distributed control of the wave equation subject to state constraints

article by Martin Gugat et al published 16 June 2009 in Journal of Applied Mathematics and Mechanics

Optimal switching boundary control of a string to rest in finite time

Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function

Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation

article by Martin Gugat published January 2010 in SIAM Journal on Control and Optimization

Prox-Regularization Methods for Generalized Fractional Programming

Stabilization of Networked Hyperbolic Systems with Boundary Feedback

Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay

Stabilizing a vibrating string by time delay

scientific article published in August 2010

Stars of vibrating strings: Switching boundary feedback stabilization

Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints

article by Martin Gugat & Michael Schuster published 26 September 2018 in Mathematical Problems in Engineering

Stationary states in gas networks

article by Martin Gugat et al published April 2015 in Networks and Heterogeneous Media

The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators

article by Martin Gugat published March 1996 in Numerical Algorithms

The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up

The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations

article by Martin Gugat & Michael Herty published August 2010 in Optimization Methods and Software

Time Delay in Optimal Control Loops for Wave Equations

Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction

Towards simulation based mixed-integer optimization with differential equations

Transient Flow in Gas Networks: Traveling waves

Weber problems with mixed distances and regional demand