4 papers
Average Point Pursuit using the Greedy Algorithm: Theory and Applications
Andrey Bernstein, Niek J. Bouman
This paper considers a discrete-time decision problem wherein a decision maker has to track, on average, a sequence of inputs selected from a convex set $\mathcal X \subset \mathbb…
Multiprecision Arithmetic for Cryptology in C++ - Compile-Time Computations and Beating the Performance of Hand-Optimized Assembly at Run-Time
Niek J. Bouman
We describe a new C++ library for multiprecision arithmetic for numbers in the order of 100--500 bits, i.e., representable with just a few limbs. The library is written in "optimiz…
Real-Time Minimization of Average Error in the Presence of Uncertainty and Convexification of Feasible Sets
Andrey Bernstein, Niek J. Bouman, Jean-Yves Le Boudec
We consider a two-level discrete-time control framework with real-time constraints where a central controller issues setpoints to be implemented by local controllers. The local con…
Design of Resource Agents with Guaranteed Tracking Properties for Real-Time Control of Electrical Grids
Andrey Bernstein, Niek J. Bouman, Jean-Yves Le Boudec
We target the problem of controlling electrical microgrids with little inertia in real time. We consider a central controller and a number of resources, where each resource is eith…