485 citations
- Technical University of MunichDE35 papers
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4 papers · 2 filters
Classical and strong convexity of sublevel sets and application to attainable sets of nonlinear systems
Alexander Weber, Gunther Reissig
Necessary and sufficient conditions for convexity and strong convexity, respectively, of sublevel sets that are defined by finitely many real-valued -maps are presented. A…
A balanced k-means algorithm for weighted point sets
Steffen Borgwardt, Andreas Brieden, Peter Gritzmann
The classical -means algorithm for partitioning points in into clusters is one of the most popular and widely spread clustering methods. The need to respe…
Optimal Rendezvous Path Planning to an Uncontrolled Tumbling Target
Johannes Michael, Kurt Chudej, Matthias Gerdts +1
As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, p…
Strong Structural Controllability and Observability of Linear Time-Varying Systems
Gunther Reissig, Christoph Hartung, Ferdinand Svaricek
In this note we consider continuous-time systems x'(t) = A(t) x(t) + B(t) u(t), y(t) = C(t) x(t) + D(t) u(t), as well as discrete-time systems x(t+1) = A(t) x(t) + B(t) u(t), y(t)…