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- Hans-Bernd Dürr, Erkin Saka, Christian Ebenbauer
- CDC
- 2012

- Hans-Bernd Dürr, Milos S. Stankovic, Christian Ebenbauer, Karl Henrik Johansson
- Automatica
- 2013

We consider problems in multi-agent systems where a network of mobile sensors needs to self-organize such that some global objective function is maximized. To deal with the agents’ lack of global information we approach the problem in a game-theoretic framework where agents/players are only able to access local measurements of their own local utility… (More)

- Hans-Bernd Dürr, Christian Ebenbauer
- CDC-ECE
- 2011

In this paper we propose a novel smooth vector field whose trajectories globally converge to the saddle point of the Lagrangian associated with a convex and constrained optimization problem. Under suitable assumptions, we prove global convergence of the trajectories for the class of strictly convex problems and we propose a vector field for linear programs.

We consider problems in multi-agent systems where a network of autonomous vehicles needs to self-organize such that some global objective function is maximized. To deal with the agents’ lack of global information we define the problem as a potential game where the agents/players are only able to access local measurements of their individual utility… (More)

- Hans-Bernd Dürr, Milos S. Stankovic, Karl Henrik Johansson, Christian Ebenbauer
- 2013 51st Annual Allerton Conference on…
- 2013

In this paper we consider two examples of synchronization problems, i.e., a network of oscillators and a network of rigid bodies. We propose a controller that requires only the knowledge of the relative distances among the neighboring systems in the network. The controller is based on an extremum seeking controller, that steers the overall system to the… (More)

- Hans-Bernd Dürr, Chen Zeng, Christian Ebenbauer
- NOLCOS
- 2013

In this paper, we consider convex optimization problems with constraints. By combining the idea of a Lie bracket approximation for extremum seeking systems and saddle point algorithms, we propose a feedback which steers a single-integrator system to the set of saddle points of the Lagrangian associated to the convex optimization problem. We prove practical… (More)

- Hans-Bernd Dürr, Milos S. Stankovic, Karl Henrik Johansson, Christian Ebenbauer
- Automatica
- 2014

Extremum seeking is a powerful control method to steer a dynamical system to an extremum of a partially unknown function. In this paper, we introduce extremum seeking systems on submanifolds in the Euclidian space. Using a trajectory approximation technique based on Lie brackets, we prove that uniform asymptotic stability of the so-called Lie bracket system… (More)

- Hans-Bernd Dürr, Miroslav Krstic, Alexander Scheinker, Christian Ebenbauer
- IEEE Trans. Automat. Contr.
- 2015

We consider the interconnection of two dynamical systems where one has an input-affine vector field. We show that by employing a singular perturbation analysis and the Lie bracket approximation technique, the stability of the overall system can be analyzed by regarding the stability properties of two reduced, uncoupled systems.