This paper considers a Gaussian two-user multiple-input multiple-output (MIMO) multiple access channel (MAC) with cooperating encoders. After defining a form of cooperation strategy, we derive achievable rate bounds by applying the results obtained by Willems for the MAC with generalised feedback. Then, we characterise an achievable rate region and also provide a lower bound for this region, wh...

This contribution treats the estimation of reachable states for time invariant hybrid systems. Using the framework provided by Willems’ behavioural systems theory, we suggest a method based on l-complete approximations, which can be realized by finite state machines. The approximating behaviour is a superset of the original behaviour. Hence, the estimate of reachable states based on an l-comple...

In this paper we generalize the Hill-Moylan-Willems framework for dissipative systems to accommodate L∞ criteria, and a mixture of L∞ and integral criteria. The generalized dissipation property is completely characterized in terms of a partial differential inequality, interpreted in the viscosity sense. These results are then applied to derive a state feedback synthesis procedure using a minima...

F. Willems,1,2,* C. T. L. Smeenk,2 N. Zhavoronkov,2 O. Kornilov,2 I. Radu,1 M. Schmidbauer,3 M. Hanke,4 C. von Korff Schmising,1,2,*,† M. J. J. Vrakking,2 and S. Eisebitt1,2,* 1Technische Universität Berlin, Institut für Optik und Atomare Physik, 10623 Berlin, Germany 2Max-Born-Institut, Max-Born-Strasse 2A, 12489 Berlin, Germany 3Leibniz-Institut für Kristallzüchtung, Max-Born-Strasse 2, 12489...

In this issue of Blood, Willems et al describe the dependence of acute myeloid leukemia (AML) cells on glutamine for maintaining protein synthesis downstream of mammalian target of rapamycin (mTOR) and show that the enzyme asparaginase can be used to target this dependence. Using various AML cell lines, primary samples, and CD341 stem cells from healthy donors, the authors support the notion th...

This contribution addresses the synthesis of supervisory control for hybrid systems with discrete external signals. Such systems are in general neither l-complete nor can they be represented by nite state machines. We nd an l-complete approximation (abstraction) l for , represent it by a nite state machine, and investigate the control problem for the approximation. If a solution exists, we synt...

This paper presents conditional versions of Lempel-Ziv (LZ) algorithm for settings where compressor and decompressor have access to the same side information. We propose a fixed-length-parsing LZ algorithm with side information, motivated by the Willems algorithm, and prove the optimality for any stationary processes. In addition, we suggest strategies to improve the algorithm which lower the d...

All roadmaps reports are under revision of the European Commission, final approval from the EC is pending. The present document is a roadmap report prepared by Willems & van den Wildenberg (W&W) in the framework of the NanoRoadMap (NRM) project, co-funded by the 6th Framework Programme (FP6) of the European Commission. This roadmap report is mainly based on the input received from experts parti...

The fundamental lemma due to Willems et al. “A note on persistency of excitation,” Syst. Control Lett., vol. 54, no. 4, pp. 325-329, 2005 plays an important role in system identification and data-driven control. One the assumptions for is that underlying linear time-invariant controllable. In this letter, extended address uncontrollable systems. Then, a algebraic test derived check whether cont...