Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

State-Constraint Static Hamilton--Jacobi Equations in Nested Domains

Yeoneung Kim, Hung V. Tran and Son N. Tu
SIAM Journal on Mathematical Analysis 52 (5) 4161 (2020)
https://doi.org/10.1137/19M1292035

Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach

Anna Désilles and Hasnaa Zidani
SIAM Journal on Control and Optimization 57 (6) 3884 (2019)
https://doi.org/10.1137/18M1176993

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

Piernicola Bettiol and Richard B. Vinter
Mathematical Programming 168 (1-2) 201 (2018)
https://doi.org/10.1007/s10107-016-1028-0

Internal approximations of reachable sets of control systems with state constraints

M. I. Gusev
Proceedings of the Steklov Institute of Mathematics 287 (S1) 77 (2014)
https://doi.org/10.1134/S0081543814090089

Estimates on trajectories in a closed set with corners for $(t,x)$ dependent data

Piernicola Bettiol and Richard Vinter
Mathematical Control & Related Fields 3 (3) 245 (2013)
https://doi.org/10.3934/mcrf.2013.3.245

L∞ estimates on trajectories confined to a closed subset

Piernicola Bettiol, Hélène Frankowska and Richard B. Vinter
Journal of Differential Equations 252 (2) 1912 (2012)
https://doi.org/10.1016/j.jde.2011.09.007

Estimates for Trajectories Confined to a Cone in $\mathbb{R}^{\lowercase{n}}$

Piernicola Bettiol, Alberto Bressan and Richard B. Vinter
SIAM Journal on Control and Optimization 49 (1) 21 (2011)
https://doi.org/10.1137/09077240X

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

Piernicola Bettiol and Richard Vinter
IEEE Transactions on Automatic Control 56 (5) 1090 (2011)
https://doi.org/10.1109/TAC.2010.2088670

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

Piernicola Bettiol, Alberto Bressan and Richard Vinter
SIAM Journal on Control and Optimization 48 (7) 4664 (2010)
https://doi.org/10.1137/090769788

Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions

Robert Baier, Ilyes Aïssa Chahma and Frank Lempio
SIAM Journal on Optimization 18 (3) 1004 (2007)
https://doi.org/10.1137/060661867

Hamilton–Jacobi characterization of the state constrained value

F.H. Clarke and R.J. Stern
Nonlinear Analysis: Theory, Methods & Applications 61 (5) 725 (2005)
https://doi.org/10.1016/j.na.2003.06.005