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math.OC2013

Generalized Subdifferentials of the Sign Change Counting Function

Dominique Fortin, Ider Tseveendorj

The counting function on binary values is extended to the signed case in order to count the number of transitions between contiguous locations. A generalized subdifferential for th…

math.OC2013

Application of the Moment-SOS Approach to Global Optimization of the OPF Problem

Cédric Josz, Jean Maeght, Patrick Panciatici +1

Finding a global solution to the optimal power flow (OPF) problem is difficult due to its nonconvexity. A convex relaxation in the form of semidefinite programming (SDP) has attrac…

math.OC2013★ 15 cited

On conjugate times of LQ optimal control problems

Andrei Agrachev, Luca Rizzi, Pavel Silveira

Motivated by the study of linear quadratic optimal control problems, we consider a dynamical system with a constant, quadratic Hamiltonian, and we characterize the number of conjug…

math.OC2013★ 4 cited

Contraction analysis of nonlinear random dynamical systems

Nicolas Tabareau, Jean-Jacques Slotine

In order to bring contraction analysis into the very fruitful and topical fields of stochastic and Bayesian systems, we extend here the theory describes in \cite{Lohmiller98} to ra…

math.OC2013

Distributed privacy-preserving network size computation: A system-identification based method

Federica Garin, Ye Yuan

In this study, we propose an algorithm for computing the network size of communicating agents. The algorithm is distributed: a) it does not require a leader selection; b) it only r…

math.OC2013★ 11 cited

Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description

Anne-Céline Boulanger, Philippe Moireau, Benoit Perthame +1

Developing robust data assimilation methods for hyperbolic conservation laws is a challenging subject. Those PDEs indeed show no dissipation effects and the input of additional inf…