## About my research

Martin Gugat currently works at the Department of Mathematics, Friedrich-Alexander-University of Erlangen-Nürnberg (FAU), Chair for Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt Professorship). Martin does research in Applied Mathematics in particular in the control of complex systems. Current projects are 'TRR154 Project C03: Robust Nodal Control' and 'C05: Observer-based data assimilation for time dependent flows on gas networks'.

## All Stories

- ArticleHow does the inclusion of cycles in a network of strings change the dynamics?
- ArticleTurnpike properties of optimal boundary control problems with random linear hyperbolic systems
- ArticleStructural properties (turnpike results) for systems that may be partially unstable
- ArticleExact control under state constraints
- ArticleThe control of forming processes in turbine blade production
- ArticleThe stabilizability for a semilinear model for gas pipeline flow is limited
- ArticleModeling, control, and numerics of gas networks
- ArticleGas pipeline flow that changes with time: Why are partial differential equation a good model?
- ArticleExponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
- ArticleOperation of gas pipeline networks: How to satisfy the customer demand in 99% of all cases
- ArticleOn the turnpike property with interior decay for optimal control problems
- ArticleBoundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks
- ArticleOptimal control with non-smooth tracking terms: How to reach the turnpike in finite time
- ArticleBoundary feedback stabilization of gas flow in a pipe: stability for a transient model
- ArticleProbust constraints: A new concept do deal with uncertainty in constraints
- ArticleStabilization using feedback with a delay term
- ArticleTransient Flow in Gas Pipeline Networks
- ArticleOptimal control with probabilistic constraints
- ArticleConvexity and starshapedness of feasible sets in stationary flow networks
- ArticleFor certain source terms linear systems cannot be stabilized from the boundary!
- ArticleHow static optimal control problems can help for the solution of dynamic optimal control problems
- ArticleBoundary control games with networks of vibrating strings
- ArticleCompressor Control in Gas Networks with Uncertain Loads: Probabilistic Constraints
- ArticleTraveling waves solutions for gas Pipeline flow
- ArticleBoundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
- ArticleLipschitz solutions of initial boundary value problems for balance laws
- ArticleOptimization with differential equations and switching decisions
- ArticleBoundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
- ArticleOn the Relaxation Approximation for $$2\times 2$$ Hyperbolic Balance Laws
- ArticleMIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
- ArticleThe isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up
- ArticleBoundary feedback stabilization of the flow of gas through pipelines
- ArticleCoupling conditions for the transition from supersonic to subsonic fluid states
- ArticleLipschitz continuity of the value function in mixed-integer optimal control problems
- ArticleStationary states for networks of pipelines of real gas
- ArticleHow time delay in the implementation of an optimal control can destroy the performance
- ArticleOptimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
- ArticleExact penalization of terminal constraints in the objective functions of optimal control problems
- ArticleExact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
- ArticleAnalysis of a system of nonlocal conservation laws for multi-commodity flow on networks
- ArticleStationary states in gas networks
- ArticleBoundary feedback stabilization of the Schlögl system
- ArticleExponential Stabilization of the Wave Equation by Dirichlet Integral Feedback
- ArticleOptimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
- ArticleNorm-minimal Neumann boundary control of the wave equation
- ArticleBoundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term
- ArticleErratum: flow control in gas networks: exact controllability to a given demand
- ArticleStabilization of Networked Hyperbolic Systems with Boundary Feedback
- ArticleEfficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors
- ArticleApproximation of curved domains for optimal wave control
- ArticleA smoothed penalty iteration for state constrained optimal control problems for partial differential equations
- ArticleStabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
- ArticleOn the relaxation approximation of boundary control of the isothermal Euler equations
- ArticleFeedback stabilization of quasilinear hyperbolic systems with varying delays
- ArticleH 2-stabilization of the Isothermal Euler equations: a Lyapunov function approach
- ArticleContamination Source Detection In Water Distribution Networks: A mathematical approach
- ArticleConstrained Optimization and Optimal Control for Partial Differential Equations
- ArticleWell-posedness of Networked Hyperbolic Systems of Balance Laws
- ArticleAn example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string
- ArticleA strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
- ArticleGas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
- ArticleTime-delayed boundary feedback stabilization of the isothermal Euler equations with friction
- ArticleFlow control in gas networks: Exact controllability to a given demand
- ArticleClassical solutions and feedback stabilization for the gas flow in a sequence of pipes
- ArticleStabilizing a vibrating string by time delay
- ArticleThe smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations
- ArticleBoundary feedback stabilization by time delay for one-dimensional wave equations
- ArticleApproximation of Semigroups and Related Operator Functions by Resolvent Series
- ArticleStars of vibrating strings: Switching boundary feedback stabilization
- ArticlePenalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
- ArticleOptimal boundary control of the wave equation with pointwise control constraints
- ArticleExistence of classical solutions and feedback stabilization for the flow in gas networks
- ArticleOptimal distributed control of the wave equation subject to state constraints
- ArticleGlobal boundary controllability of the Saint-Venant system for sloped canals with friction
- ArticleLavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints
- ArticleOptimal switching boundary control of a string to rest in finite time
- ArticleL∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle
- ArticleRobustness analysis for the boundary control of the string equation
- ArticleWeber problems with mixed distances and regional demand
- ArticleControlling vibrating strings with variable lengths - cranes and mining elevators
- ArticleOptimal Energy Control in Finite Time by varying the Length of the String
- ArticleOptimal Boundary Control in Flood Management
- ArticleConservation law constrained optimization based upon Front-Tracking
- ArticleOptimal boundary control of a string to rest in finite time with continuous state
- ArticleOptimal Control for Traffic Flow Networks
- ArticleLp-Optimal Boundary Control for the Wave Equation
- ArticleGlobal controllability between steady supercritical flows in channel networks
- ArticleBoundary Controllability between Sub- and Supercritical Flow
- ArticleGlobal boundary controllability of the de St. Venant equations between steady states
- ArticleAnalytic Solutions of L∞ Optimal Control Problems for the Wave Equation
- Article
- ArticleControllability of a slowly rotating Timoshenko beam
- ArticleError bounds for infinite systems of convex inequalities without Slater’s condition
- ArticleA Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems
- ArticleA parametric view on the Mangasarian-Fromovitz constraint qualification
- ArticleConvex Semi-Infinite Parametric Programming: Uniform Convergence of the Optimal Value Functions of Discretized Problems
- ArticleProx-Regularization Methods for Generalized Fractional Programming
- ArticleSemi-infinite terminal problems: a newton type method
- ArticleWhen does the optimal value behave nicely when singular parameters are approached?
- ArticleParametric Disjunctive Programming: One-Sided Differentiability of the Value Function
- ArticleA fast algorithm for Minimax Problems with Quotient structure.
- ArticleThe Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators
- ArticleAn Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators
- ArticleOne-sided derivatives for the value function in convex parametric programming
- ArticleNonlinear elasticity: existence theory under subdifferential constaints
- ArticleOptimization under functional constraints (semi—infinite programming) and applications
- ArticleL1—Optimal Boundary Control of a String to Rest in Finite Time