Piernicola Bettiol

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 6

Top Topics

Infinite Horizon

Eikonal Equation

Optimal Control

Top Venues

SIAM J. Control. Optim.

Publications

Piernicola Bettiol, Nathalie T. Khalil
Average Cost Minimization Problems Subject to State Constraints. SIAM J. Control. Optim. 62 (3) (2024)
Piernicola Bettiol, Richard B. Vinter
A New Look at the Weierstrass Condition in Optimal Control. CDC (2021)
Julien Bernis, Piernicola Bettiol
Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data. LSSC (2019)
Piernicola Bettiol, Richard B. Vinter
$$L^{\infty }$$ L ∞ estimates on trajectories confined to a closed subset, for control systems with bounded time variation. Math. Program. 168 (1-2) (2018)
Piernicola Bettiol, Bernard Bonnard, Jérémy Rouot
Optimal Strokes at Low Reynolds Number: A Geometric and Numerical Study of Copepod and Purcell Swimmers. SIAM J. Control. Optim. 56 (3) (2018)
Piernicola Bettiol, Richard B. Vinter
The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence. SIAM J. Control. Optim. 55 (2) (2017)
Piernicola Bettiol, Hélène Frankowska, Richard B. Vinter
Sensitivity interpretations of the co-state trajectory for opimal control problems with state constraints. CDC (2013)
Piernicola Bettiol, Andrea Boccia, Richard B. Vinter
Stratified Necessary Conditions for Differential Inclusions with State Constraints. SIAM J. Control. Optim. 51 (5) (2013)
Piernicola Bettiol, Andrea Boccia, Richard B. Vinter
Stratified necessary conditions for unbounded differential inclusions with state constraints. CDC (2012)
Piernicola Bettiol, Richard B. Vinter
Trajectories Satisfying a State Constraint: Improved Estimates and New Non-Degeneracy Conditions. IEEE Trans. Autom. Control. 56 (5) (2011)
Piernicola Bettiol, Alberto Bressan, Richard B. Vinter
. SIAM J. Control. Optim. 49 (1) (2011)
Piernicola Bettiol, Richard B. Vinter
Sensitivity Interpretations of the Costate Variable for Optimal Control Problems with State Constraints. SIAM J. Control. Optim. 48 (5) (2010)
Piernicola Bettiol, Hélène Frankowska
On the solution map of control systems with multiple state constraints. CDC (2010)
Piernicola Bettiol, Alberto Bressan, Richard B. Vinter
Estimates and Counterexamples. SIAM J. Control. Optim. 48 (7) (2010)
Piernicola Bettiol, Richard B. Vinter
Existence of feasible approximating trajectories satisfying multiple state constraints. CDC (2010)
Piernicola Bettiol, Richard B. Vinter
Existence of feasible approximating trajectories for differential inclusions with obstacles as state constraints. CDC (2009)
Piernicola Bettiol, Richard B. Vinter
Sensitivity relations for optimal control problems with state constraints. CDC (2008)
Piernicola Bettiol, Pierre Cardaliaguet, Marc Quincampoix
Zero-sum state constrained differential games: existence of value for Bolza problem. Int. J. Game Theory 34 (4) (2006)
Piernicola Bettiol, Pierre Cardaliaguet, Marc Quincampoix
On a Non anticipative Filippov Theorem for Control Systems with state constraints. CDC/ECC (2005)