Piernicola Bettiol

According to our database, Piernicola Bettiol authored at least 19 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Average Cost Minimization Problems Subject to State Constraints.

Piernicola Bettiol, Nathalie T. Khalil

SIAM J. Control. Optim., 2024

2021

A New Look at the Weierstrass Condition in Optimal Control.

Piernicola Bettiol, Richard B. Vinter

Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2019

Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data.

Julien Bernis, Piernicola Bettiol

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

2018

Optimal Strokes at Low Reynolds Number: A Geometric and Numerical Study of Copepod and Purcell Swimmers.

Piernicola Bettiol, Bernard Bonnard, Jérémy Rouot

SIAM J. Control. Optim., 2018

$$L^{\infty }$$ L ∞ estimates on trajectories confined to a closed subset, for control systems with bounded time variation.

Piernicola Bettiol, Richard B. Vinter

Math. Program., 2018

2017

The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence.

Piernicola Bettiol, Richard B. Vinter

SIAM J. Control. Optim., 2017

2013

Stratified Necessary Conditions for Differential Inclusions with State Constraints.

Piernicola Bettiol, Andrea Boccia, Richard B. Vinter

SIAM J. Control. Optim., 2013

Sensitivity interpretations of the co-state trajectory for opimal control problems with state constraints.

Piernicola Bettiol, Hélène Frankowska, Richard B. Vinter

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012

Stratified necessary conditions for unbounded differential inclusions with state constraints.

Piernicola Bettiol, Andrea Boccia, Richard B. Vinter

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011

Trajectories Satisfying a State Constraint: Improved Estimates and New Non-Degeneracy Conditions.

Piernicola Bettiol, Richard B. Vinter

IEEE Trans. Autom. Control., 2011

Estimates for Trajectories Confined to a Cone in Rⁿ.

Piernicola Bettiol, Alberto Bressan, Richard B. Vinter

SIAM J. Control. Optim., 2011

2010

Sensitivity Interpretations of the Costate Variable for Optimal Control Problems with State Constraints.

Piernicola Bettiol, Richard B. Vinter

SIAM J. Control. Optim., 2010

On Trajectories Satisfying a State Constraint: W^{1, 1} Estimates and Counterexamples.

Piernicola Bettiol, Alberto Bressan, Richard B. Vinter

SIAM J. Control. Optim., 2010

Existence of feasible approximating trajectories satisfying multiple state constraints.

Piernicola Bettiol, Richard B. Vinter

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

On the solution map of control systems with multiple state constraints.

Piernicola Bettiol, Hélène Frankowska

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Existence of feasible approximating trajectories for differential inclusions with obstacles as state constraints.

Piernicola Bettiol, Richard B. Vinter

Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008

Sensitivity relations for optimal control problems with state constraints.

Piernicola Bettiol, Richard B. Vinter

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2006

Zero-sum state constrained differential games: existence of value for Bolza problem.

Piernicola Bettiol, Pierre Cardaliaguet, Marc Quincampoix

Int. J. Game Theory, 2006

2005

On a Non anticipative Filippov Theorem for Control Systems with state constraints.

Piernicola Bettiol, Pierre Cardaliaguet, Marc Quincampoix

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005