Piernicola Bettiol

发表

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

Piernicola Bettiol, Richard B. Vinter, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

On the solution map of control systems with multiple state constraints

Piernicola Bettiol, Hélène Frankowska, 2010, 49th IEEE Conference on Decision and Control (CDC).

Analysis and Geometry in Control Theory and its Applications

Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, 2015 .

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

Piernicola Bettiol, Richard B. Vinter, 2017, SIAM J. Control. Optim..

Estimates for Trajectories Confined to a Cone in Rn

Piernicola Bettiol, Richard B. Vinter, Alberto Bressan, 2011, SIAM J. Control. Optim..

Sensitivity relations for optimal control problems with state constraints

Piernicola Bettiol, Richard B. Vinter, R. Vinter, 2008, 2008 47th IEEE Conference on Decision and Control.

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

Piernicola Bettiol, Richard B. Vinter, Hélène Frankowska, 2013, 52nd IEEE Conference on Decision and Control.

Necessary optimality conditions for average cost minimization problems

Piernicola Bettiol, Nathalie Khalil, P. Bettiol, 2019, Discrete & Continuous Dynamical Systems - B.

Stratified necessary conditions for unbounded differential inclusions with state constraints

Piernicola Bettiol, Richard B. Vinter, Andrea Boccia, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

Stratified Necessary Conditions for Differential Inclusions with State Constraints

Piernicola Bettiol, Richard B. Vinter, Andrea Boccia, 2013, SIAM J. Control. Optim..

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

Piernicola Bettiol, Richard B. Vinter, 2011, IEEE Transactions on Automatic Control.

Existence of feasible approximating trajectories satisfying multiple state constraints

Piernicola Bettiol, Richard B. Vinter, 2010, 49th IEEE Conference on Decision and Control (CDC).

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

Piernicola Bettiol, Bernard Bonnard, Jérémy Rouot, 2018, SIAM J. Control. Optim..

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

Marc Quincampoix, Piernicola Bettiol, Pierre Cardaliaguet, 2006, Int. J. Game Theory.

On Trajectories Satisfying a State Constraint: W1, 1 Estimates and Counterexamples

Piernicola Bettiol, Richard B. Vinter, Alberto Bressan, 2010, SIAM J. Control. Optim..

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

Piernicola Bettiol, Richard B. Vinter, 2018, Math. Program..

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

Piernicola Bettiol, Julien Bernis, 2019, LSSC.

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

Piernicola Bettiol, Richard B. Vinter, R. Vinter, 2009, SIAM J. Control. Optim..

Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem

Piernicola Bettiol, Carlo Mariconda, 2022 .

Pontryagin maximum principle for state constrained optimal sampled-data control problems on time scales

Piernicola Bettiol, Loïc Bourdin, L. Bourdin, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

Improved Sensitivity Relations in State Constrained Optimal Control

Piernicola Bettiol, Richard B. Vinter, Hélène Frankowska, 2015 .

On ergodic problem for Hamilton-Jacobi-Isaacs equations

Piernicola Bettiol, P. Bettiol, 2005 .

Normality of the maximum principle for nonconvex constrained Bolza problems

Piernicola Bettiol, Hélène Frankowska, H. Frankowska, 2007 .

L∞ estimates on trajectories confined to a closed subset

Piernicola Bettiol, Richard B. Vinter, Hélène Frankowska, 2012 .

Regularity of Solution Maps of Differential Inclusions Under State Constraints

Piernicola Bettiol, Hélène Frankowska, 2007 .

A deterministic approach to the Skorokhod problem

Piernicola Bettiol, P. Bettiol, 2006 .

Linear estimates for trajectories of state-constrained differential inclusions and normality conditions in optimal control

Piernicola Bettiol, Giancarlo Facchi, P. Bettiol, 2014 .