List of publications - Applied Mathematics - Numerics and Control

M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.

DOI GitHub arXiv

Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model

Y. Lishkova, S. Ober-Blöbaum, S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model , Invited Mathematical Magazine Article, 2023.

Variational approach for modelling and optimal control of electrodynamic tether motion

Y. Lishkova, M. Bando, S. Ober-Blöbaum, in: Accepted for the 74th International Astronautical Concress (IAC), 2023.

Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations

J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.

Turnpike Property in Optimal Microbial Metabolite Production

J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).

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Verification of safety critical control policies using kernel methods

N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: 2022, pp. 1870–1875.

High-order embedding formalism, Noether's theorem on time scales and Eringen's nonlocal elastica

K. Hariz Belgacem, High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica, 2022.

PDF https://univ-pau.hal.science/tel-03776279v1

Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies

B. Bonnard, J. Rouot, B.E. Wembe Moafo, Mathematical Control and Related Fields 0 (2022) 0–0.

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Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the fan shape of the small time balls

B. Bonnard, O. Cots, J. Gergaud, B.E. Wembe Moafo, Systems & Control Letters 161 (2022).

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Manifold turnpikes, trims, and symmetries

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.

About the structure of the discrete and continuous Eringen’s nonlocal elastica

J. Cresson, K. Hariz Belgacem, Mathematics and Mechanics of Solids (2022).

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Backward error analysis for variational discretisations of partial differential equations

R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.

DOI PDF https://github.com/Christian-Offen/multisymplectic arXiv

Symplectic integration of learned Hamiltonian systems

C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).

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Superconvergence of galerkin variational integrators

S. Ober-Blöbaum, M. Vermeeren, in: IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, pp. 327–333.

Explicit multiobjective model predictive control for nonlinear systems with symmetries

S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.

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Turnpike features in optimal selection of species represented by quota models

W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).

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Bifurcation preserving discretisations of optimal control problems

C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.

DOI PDF GitHub/Zenodo arXiv

Learning ODE Models with Qualitative Structure Using Gaussian Processes

S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.

DOI GitHub arXiv

Multi-objective minimum time optimal control for low-thrust trajectory design

N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.

arXiv

Fractional Damping Through Restricted Calculus of Variations

F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021.

Homotopic approach for turnpike and singularly perturbed optimal control problems

O. Cots, J. Gergaud, B.E. Wembe Moafo, ESAIM: Proceedings and Surveys 71 (2021) 43–53.

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Geometric and Numerical Methods in Optimal Control and Zermelo Problems on Revolution Surfaces - Applications

B.E. Wembe Moafo, Geometric and Numerical Methods in Optimal Control and Zermelo Problems on Revolution Surfaces - Applications, n.d.

PDF https://hal.archives-ouvertes.fr/tel-03601394v2

A multirate variational approach to Nonlinear MPC

Y. Lishkova, M. Cannon, S. Ober-Blöbaum, in: European Control Conference (ECC), IEEE, 2021.

Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation

R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.

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Detection of high codimensional bifurcations in variational PDEs

L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.

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Analysis of Hamiltonian boundary value problems and symplectic integration

C. Offen, Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration, Massey University, Palmerston North, New Zealand, 2020.

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Injectivity of the inverse optimal control problem for control-affine systems

F. Jean, S. Maslovskaya, in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2020.

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Variational integrators for dissipative systems

D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.

Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty

C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.

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Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping

C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).

A multirate variational approach to simulation and optimal control for flexible spacecraft

Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.

A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.

Modelling of the convection-diffusion equation through fractional restricted calculus of variations

J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.

On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry

F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.

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The turnpike property in maximization of microbial metabolite production

S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.

Zermelo-Markov-Dubins problem and extensions in marine navigation

J.-B. Caillau, S. Maslovskaya, T. Mensch, T. Moulinier, J.-B. Pomet, in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2020.

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Symmetry in optimal control: A multiobjective model predictive control approach

K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.

Minimum Energy Control of Passive Tracers Advection in Point Vortices Flow

C. Balsa, O. Cots, J. Gergaud, B.E. Wembe Moafo, in: Lecture Notes in Electrical Engineering, Springer International Publishing, Cham, 2020.

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A Zermelo navigation problem with a vortex singularity

B. Bonnard, O. Cots, B.E. Wembe Moafo, ESAIM: Control, Optimisation and Calculus of Variations 27 (2020).

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Noether’s-type theorems on time scales

B. Anerot, J. Cresson, K. Hariz Belgacem, F. Pierret, Journal of Mathematical Physics 61 (2020).

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Symplectic integration of PDEs using Clebsch variables

R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.

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Inverse optimal control problem: the linear-quadratic case

F. Jean, S. Maslovskaya, in: 2018 IEEE Conference on Decision and Control (CDC), 2019.

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On projective and affine equivalence of sub-Riemannian metrics

F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata (2019) 279–319.

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Symmetry and motion primitives in model predictive control

K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, MCSS 31 (2019) 455–485.

Towards velocity turnpikes in optimal control of mechanical systems

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.

Bifurcation of solutions to Hamiltonian boundary value problems

R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.

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Symplectic integration of boundary value problems

R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.

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Inverse Optimal Control : theoretical study

S. Maslovskaya, Inverse Optimal Control : Theoretical Study, 2018.

Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling

S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.

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Improving optimal control of grid-connected lithium-ion batteries through more accurate battery and degradation modelling

J.M. Reniers, G. Mulder, S. Ober-Blöbaum, D.A. Howe, Journal of Power Sources 379 (2018) 91–102.

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Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives

F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.

A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings

F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.

Local intersections of Lagrangian manifolds correspond to catastrophe theory

C. Offen, ArXiv:1811.10165 (n.d.).

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Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci

R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.

DOI PDF arXiv

Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control

M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI 2014 , Springer International Publishing, Cham, 2017, pp. 633–641.

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C1-continuous space-time discretization based on Hamilton's law of varying action

J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 97(4) (2017) 433–457.

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Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints

T. Wenger, S. Ober-Blöbaum, S. Leyendecker, Advances in Computational Mathematics 43(5) (2017) 1163–1195.

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Galerkin variational integrators and modified symplectic Runge-Kutta methods

S. Ober-Blöbaum, IMA Journal of Numerical Analysis 37(1) (2017) 375–406.

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Second-order switching time optimization for switched dynamical systems

B. Stellato, S. Ober-Blöbaum, P.J. Goulart, IEEE Transactions on Automatic Control 62(10) (2017) 5407–5414.

A multiobjective MPC approach for autonomously driven electric vehicles

S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50 (2017) 8674–8679.

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Variational multirate integration in discrete mechanics and optimal control

T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.

Variational integrators of mixed order for constrained and unconstrained systems acting on multiple time scales

T. Wenger, S. Ober-Blöbaum, S. Leyendecker, PAMM 17 (2017).

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Inverse Optimal Control Problem: the Sub-Riemannian Case

F. Jean, S. Maslovskaya, I. Zelenko, IFAC-PapersOnLine (2017) 500–505.

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On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function

M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, Mathematical Programming (2016) 1–31.

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A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles

J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, pp. 465–472.

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Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials

T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.

Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods

T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.

Reduced order model based multiobjective optimal control of fluids

S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.

Optimal control of switching times in switched linear systems

B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.

Variational integrators of higher order for constrained dynamical systems

T. Wenger, S. Ober-Blöbaum, S. Leyendecker, PAMM 16(1) (2016) 775–776.

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C1-continuous time integration based on cubic Hermite interpolation

J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, PAMM 16(1) (2016) 753–754.

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Time transformed mixed integer optimal control problems with impacts

M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, PAMM 16(1) (2016) 789–790.

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Higher order variational integrators in optimal control theory

S. Ober-Blöbaum, PAMM 16(1) (2016) 821–822.

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On higher order variational integrators and their relation to Runge-Kutta methods

S. Ober-Blöbaum, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.

Symmetry exploiting control of hybrid mechanical systems

K. Flaßkamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2(1) (2015) 25–50.

Discrete variational Lie group formulation of geometrically exact beam dynamics

F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, Y. Weinand, Numerische Mathematik 130(1) (2015) 73–123.

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High order variational integrators in the optimal control of mechanical systems

C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical Systems 35(9) (2015) 4193–4223.

Relaxing mixed integer optimal control problems using a time transformation

M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, Proceedings of Applied Mathematics and Mechanics 15(1) (2015) 27–30.

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Multiobjective optimal control of fluid mixing

S. Ober-Blöbaum, K. Padberg-Gehle, PAMM 15(1) (2015) 639–640.

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Self-optimizing Mechatronic Systems

M. Dellnitz, K. Flaßkamp, P. Hartmann, M. Krüger, T. Meyer, C. Priesterjahn, S. Ober-Blöbaum, C. Rasche, W. Sextro, K. Stahl, A. Trächtler, in: Dependability of Self-Optimizing Mechatronic Systems, Kapitel: 1.1, Springer-Verlag, Heidelberg, Germany, 2014, pp. 3–12.

Development of the RailCab Vehicle

K. Flaßkamp, S. Grösbrink, P. Hartmann, C. Heinzemann, B. Kleinjohann, L. Kleinjohann, M. Krüger, S. Ober-Blöbaum, C. Priesterjahn, C. Rasche, W. Schäfer, D. Steenken, A. Trächtler, H. Wehrheim, S. Ziegert, in: Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag , Heidelberg, Germany, 2014, pp. 184–190.

Verification for Interacting Mechatronic Systems with Motion Profiles

K. Flaßkamp, C. Heinzemann, M. Krüger, S. Ober-Blöbaum, W. Schäfer, D. Steenken, A. Trächtler, H. Wehrheim, in: Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag, Heidelberg, Germany, 2014, pp. 119–128.

Control strategies on stable manifolds for energyefficient swing-ups of double pendula

K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control DOI: 10.1080/00207179.2014.893450 (2014) 1–20.

Variational formulation and structure-preserving discretization of nonlinear electric circuits

S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.

On the role of quadrature rules and system dimensions in variational multirate integrators

T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.

Case Study

A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn, D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger, P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro, W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg, 2014, pp. 173–188.

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Control strategies on stable manifolds for energy-efficient swing-ups of double pendula

K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control 87(9) (2014) 1886–1905.

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Construction and analysis of higher order Galerkin variational integrators

S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.

Methods for the Design and Development

H. Anacker, M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350.

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Dependability of Self-optimizing Mechatronic Systems

W. Dangelmeier, M. Dellnitz, R. Dorociak, K. Flaßkamp, J. Gausemeier, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Hölscher, P. Iwanek, J.H. Keßler, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, T. Meyer, W. Müller, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, F.J. Rammig, C. Rasche, P. Reinold, W. Schäfer, A. Seifried, W. Sextro, C. Sondermann-Woelke, K. Stahl, D. Steenken, R. Timmermann, A. Trächtler, M. Vaßholz, H. Wehrheim, K. Witting, T. Xie, Y. Zhao, S. Ziegert, D. Zimmer, in: Lecture Notes in Mechanical Engineering, Springer, Heidelberg New York Dordrecht London, 2014.