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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 differentiable) 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)

- Vladimir Gaitsgory, Marc Quincampoix
- CDC
- 2009

We investigate relationships between the deterministic infinite time horizon optimal control problem with discounting, in which the state trajectories remain in a given compact set Y , and a certain infinite dimensional linear programming (IDLP) problem. We introduce the problem dual with respect to this IDLP problem and obtain some duality results. We… (More)

- Yan Gao, John Lygeros, Marc Quincampoix
- IEEE Trans. Automat. Contr.
- 2007

- Rainer Buckdahn, Pierre Cardaliaguet, Marc Quincampoix
- Dynamic Games and Applications
- 2011

- 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 strong bi-metric regularity, which is introduced and investigated in the paper. It allows one to give a more precise description of the effect of perturbations on the optimal solutions… (More)

- M. Forti, P. Nistri, M. Quincampoix
- IEEE Transactions on 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)

- Rainer Buckdahn, Pierre Cardaliaguet, Marc Quincampoix
- SIAM J. Math. Analysis
- 2001