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
- Optimal control problems for mean fields: The turnpike phenomenon
Article
- The turnpike property - is there a limit?
Article
- How does the inclusion of cycles in a network of strings change the dynamics?
Article
- Turnpike properties of optimal boundary control problems with random linear hyperbolic systems
Article
- Structural properties (turnpike results) for systems that may be partially unstable
Article
- Exact control under state constraints
Article
- The control of forming processes in turbine blade production
Article
- The stabilizability for a semilinear model for gas pipeline flow is limited
Article
- Modeling, control, and numerics of gas networks
Article
- Gas pipeline flow that changes with time: Why are partial differential equation a good model?
Article
- Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
Article
- Operation of gas pipeline networks: How to satisfy the customer demand in 99% of all cases
Article
- The turnpike property with interior decay for problems of optimal control
Article
- Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks
Article
- Optimal control with non-smooth tracking terms: How to reach the turnpike in finite time
Article
- Boundary feedback stabilization of gas flow in a pipe: stability for a transient model
Article
- Probust constraints: A new concept do deal with uncertainty in constraints
Article
- Stabilization using feedback with a delay term
Article
- Transient Flow in Gas Pipeline Networks
Article
- Optimal control with probabilistic constraints
Article
- Convexity and starshapedness of feasible sets in stationary flow networks
Article
- For certain source terms linear systems cannot be stabilized from the boundary!
Article
- How static optimal control problems can help for the solution of dynamic optimal control problems
Article
- Boundary control games with networks of vibrating strings
Article
- Compressor Control in Gas Networks with Uncertain Loads: Probabilistic Constraints
Article
- Traveling waves solutions for gas Pipeline flow
Article
- Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
Article
- Lipschitz solutions of initial boundary value problems for balance laws
Article
- Optimization with differential equations and switching decisions
Article
- Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
Article
- On the Relaxation Approximation for $$2\times 2$$ Hyperbolic Balance Laws
Article
- MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
Article
- The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up
Article
- Boundary feedback stabilization of the flow of gas through pipelines
- Coupling conditions for the transition from supersonic to subsonic fluid states
Article
- Lipschitz continuity of the value function in mixed-integer optimal control problems
Article
- Stationary states for networks of pipelines of real gas
Article
- How time delay in the implementation of an optimal control can destroy the performance
Article
- Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
Article
- Exact penalization of terminal constraints in the objective functions of optimal control problems
Article
- Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
Article
- Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks
Article
- Stationary states in gas networks
Article
- Boundary feedback stabilization of the Schlögl system
- Exponential Stabilization of the Wave Equation by Dirichlet Integral Feedback
Article
- Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Article
- Norm-minimal Neumann boundary control of the wave equation
Article
- Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term
Article
- Erratum: flow control in gas networks: exact controllability to a given demand
Article
- Stabilization of Networked Hyperbolic Systems with Boundary Feedback
- Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors
Article
- Approximation of curved domains for optimal wave control
Article
- A smoothed penalty iteration for state constrained optimal control problems for partial differential equations
Article
- Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
- On the relaxation approximation of boundary control of the isothermal Euler equations
Article
- Feedback stabilization of quasilinear hyperbolic systems with varying delays
- H 2-stabilization of the Isothermal Euler equations: a Lyapunov function approach
- Contamination Source Detection In Water Distribution Networks: A mathematical approach
Article
- Constrained Optimization and Optimal Control for Partial Differential Equations
- Well-posedness of Networked Hyperbolic Systems of Balance Laws
- An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string
- A strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
- Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
- Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction
- Flow control in gas networks: Exact controllability to a given demand
- Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
- Stabilizing a vibrating string by time delay
- The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations
- Boundary feedback stabilization by time delay for one-dimensional wave equations
Article
- Approximation of Semigroups and Related Operator Functions by Resolvent Series
- Stars of vibrating strings: Switching boundary feedback stabilization
Article
- Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
- Optimal boundary control of the wave equation with pointwise control constraints
- Existence of classical solutions and feedback stabilization for the flow in gas networks
- Optimal distributed control of the wave equation subject to state constraints
- Global boundary controllability of the Saint-Venant system for sloped canals with friction
Article
- Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints
- Optimal switching boundary control of a string to rest in finite time
- L∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle
Article
- Robustness analysis for the boundary control of the string equation
- Weber problems with mixed distances and regional demand
Article
- Controlling vibrating strings with variable lengths - cranes and mining elevators
Article
- Optimal Energy Control in Finite Time by varying the Length of the String
- Optimal Boundary Control in Flood Management
Article
- Conservation law constrained optimization based upon Front-Tracking
- Optimal boundary control of a string to rest in finite time with continuous state
- Optimal Control for Traffic Flow Networks
Article
- Lp-Optimal Boundary Control for the Wave Equation
- Global controllability between steady supercritical flows in channel networks
- Boundary Controllability between Sub- and Supercritical Flow
- Global boundary controllability of the de St. Venant equations between steady states
Article
- Analytic Solutions of L∞ Optimal Control Problems for the Wave Equation
- Controllability of a slowly rotating Timoshenko beam
- Error bounds for infinite systems of convex inequalities without Slater’s condition
Article
- A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems
- A parametric view on the Mangasarian-Fromovitz constraint qualification
- Convex Semi-Infinite Parametric Programming: Uniform Convergence of the Optimal Value Functions of Discretized Problems
- Prox-Regularization Methods for Generalized Fractional Programming
- Semi-infinite terminal problems: a newton type method
- When does the optimal value behave nicely when singular parameters are approached?
Article
- Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function
- A fast algorithm for Minimax Problems with Quotient structure.
Article
- The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators
- An Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators
Article
- One-sided derivatives for the value function in convex parametric programming
Article
- Nonlinear elasticity: existence theory under subdifferential constaints
Article
- Optimization under functional constraints (semi—infinite programming) and applications
Article
- L1—Optimal Boundary Control of a String to Rest in Finite Time
Article