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

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