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- Mauro Forti, Paolo Nistri, Marc Quincampoix
- IEEE Trans. on Circuits and Systems
- 2004

—In 1988 Kennedy and Chua introduced the dynamical canonical nonlinear programming circuit (NPC) to solve in real time nonlinear programming problems where the objective function and the constraints are smooth (twice continuously differen-tiable) functions. In this paper, a generalized circuit is introduced (G-NPC), which is aimed at solving in real time a… (More)

- Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, S. Shankar Sastry, Nicolas Seube
- IEEE Trans. Automat. Contr.
- 2002

—Impulse differential inclusions are introduced as a framework for modeling hybrid phenomena. Connections to standard problems in the area of hybrid systems are discussed. Conditions are derived that allow one to determine whether a set of states is viable or invariant under the action of an impulse differential inclusion. For sets that violate these… (More)

- Mauro Forti, Paolo Nistri, Marc Quincampoix
- IEEE Trans. Neural Networks
- 2006

This paper considers a class of neural networks (NNs) for solving linear programming (LP) problems, convex quadratic programming (QP) problems, and nonconvex QP problems where an indefinite quadratic objective function is subject to a set of affine constraints. The NNs are characterized by constraint neurons modeled by ideal diodes with vertical segments in… (More)

- Hélène Frankowska, Marc Quincampoix
- Math. Program.
- 2012

- Marc Quincampoix, Vladimir M. Veliov
- SIAM J. Control and Optimization
- 2013

This paper studies stability properties of the solutions of optimal control problems for linear systems. The analysis is based on an adapted concept of metric regularity, the so-called strong bi-metric regularity, which is introduced and investigated in the paper. It allows to give a more precise description of the effect of perturbations on the optimal… (More)

- Sami As Soulaimani, Marc Quincampoix, Sylvain Sorin
- SIAM J. Control and Optimization
- 2009

We study the notion of approachability in a repeated game with vector payoffs from a new point of view using techniques recently developed for qualitative differential games. Namely, we relate the sufficient condition for approachability (B-set) to the notion of discriminating domain for a suitably chosen differential game. The other goal of the present… (More)

- Vladimir Gaitsgory, Marc Quincampoix
- SIAM J. Control and Optimization
- 2009

- Pierre Cardaliaguet, Marc Quincampoix
- IGTR
- 2008

- Marc Quincampoix, Jérôme Renault
- SIAM J. Control and Optimization
- 2011

We investigate the limit of the average value of an optimal control problem when the horizon converges to infinity. For this aim, we suppose suitable nonexpansive-like assumptions which does not imply that the limit is independent of the initial state as it is usually done in the literature.

- John Lygeros, Marc Quincampoix, Tadeusz Rzezuchowski
- HSCC
- 2007