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
- Stabilization of a networks of strings with a cycle
Article
- Constrained exact boundary controllability of a quasilinear model for pipeline gas flow
Article
- The Finite-Time Turnpike Property in Machine Learning
Article
- Hydrogen Blending in Gas Networks: An observer system
Article
- The finite-time turnpike property for vibrating strings
Article
- Many agents in discrete time - control for large numbers
Article
- The turnpike property is uniform with respect to changes of the shape of the domain
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- Optimal control problems for mean fields: The turnpike phenomenon
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- The turnpike property - is there a limit?
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- How does the inclusion of cycles in a network of strings change the dynamics?
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- Turnpike properties of optimal boundary control problems with random linear hyperbolic systems
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- Structural properties (turnpike results) for systems that may be partially unstable
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- Exact control under state constraints
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- The control of forming processes in turbine blade production
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- The stabilizability for a semilinear model for gas pipeline flow is limited
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- Modeling, control, and numerics of gas networks
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- Gas pipeline flow that changes with time: Why are partial differential equation a good model?
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- Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
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- Operation of gas pipeline networks: How to satisfy the customer demand in 99% of all cases
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- The turnpike property with interior decay for problems of optimal control
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- Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks
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- Optimal control with non-smooth tracking terms: How to reach the turnpike in finite time
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- Boundary feedback stabilization of gas flow in a pipe: stability for a transient model
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- Probust constraints: A new concept do deal with uncertainty in constraints
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- Stabilization using feedback with a delay term
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- Transient Flow in Gas Pipeline Networks
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- Optimal control with probabilistic constraints
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- Convexity and starshapedness of feasible sets in stationary flow networks
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- For certain source terms linear systems cannot be stabilized from the boundary!
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- How static optimal control problems can help for the solution of dynamic optimal control problems
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- Boundary control games with networks of vibrating strings
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- Compressor Control in Gas Networks with Uncertain Loads: Probabilistic Constraints
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- Traveling waves solutions for gas Pipeline flow
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- Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
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- Lipschitz solutions of initial boundary value problems for balance laws
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- Optimization with differential equations and switching decisions
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- Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
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- On the Relaxation Approximation for $$2\times 2$$ Hyperbolic Balance Laws
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- MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
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- The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up
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- Boundary feedback stabilization of the flow of gas through pipelines
- Coupling conditions for the transition from supersonic to subsonic fluid states
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- Lipschitz continuity of the value function in mixed-integer optimal control problems
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- Stationary states for networks of pipelines of real gas
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- How time delay in the implementation of an optimal control can destroy the performance
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- Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
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- Exact penalization of terminal constraints in the objective functions of optimal control problems
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- Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
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- Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks
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- Stationary states in gas networks
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- Boundary feedback stabilization of the Schlögl system
- Exponential Stabilization of the Wave Equation by Dirichlet Integral Feedback
- Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
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- Norm-minimal Neumann boundary control of the wave equation
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- Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term
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- Erratum: flow control in gas networks: exact controllability to a given demand
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- Stabilization of Networked Hyperbolic Systems with Boundary Feedback
- Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors
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- Approximation of curved domains for optimal wave control
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- A smoothed penalty iteration for state constrained optimal control problems for partial differential equations
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- 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
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- 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
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- 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
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- 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
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- Robustness analysis for the boundary control of the string equation
- Weber problems with mixed distances and regional demand
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- Controlling vibrating strings with variable lengths - cranes and mining elevators
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- Optimal Energy Control in Finite Time by varying the Length of the String
- Optimal Boundary Control in Flood Management
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- 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
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- 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
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- 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
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- 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?
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- Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function
- A fast algorithm for Minimax Problems with Quotient structure.
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- The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators
- An Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators
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- One-sided derivatives for the value function in convex parametric programming
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- Nonlinear elasticity: existence theory under subdifferential constaints
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- Optimization under functional constraints (semi—infinite programming) and applications
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- L1—Optimal Boundary Control of a String to Rest in Finite Time
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