-
1
-
-
33745699475
-
Convergence for a first order scheme for a non-local eikonal equation
-
O. Alvarez, E. Carlini, R. Monneau, and E. Rouy, Convergence for a first order scheme for a non-local eikonal equation, Appl. Numer. Math., 56 (2006), pp. 1136-1146.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 1136-1146
-
-
Alvarez, O.1
Carlini, E.2
Monneau, R.3
Rouy, E.4
-
2
-
-
0038862733
-
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
-
Birkḧauser Boston, Inc., Boston, MA
-
M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Systems Control Found. Appl., Birkḧauser Boston, Inc., Boston, MA, 1997.
-
(1997)
Systems Control Found. Appl.
-
-
Bardi, M.1
Capuzzo-Dolcetta, I.2
-
3
-
-
0034380911
-
Pursuit-evasion games with state constraints: Dynamic programming and discrete-time approximations
-
M. Bardi, S. Koike, and P. Soravia, Pursuit-evasion games with state constraints: Dynamic programming and discrete-time approximations, Discrete Contin. Dynam. Systems, 6 (2000), pp. 361-380.
-
(2000)
Discrete Contin. Dynam. Systems
, vol.6
, pp. 361-380
-
-
Bardi, M.1
Koike, S.2
Soravia, P.3
-
4
-
-
0003267441
-
Solutions de viscosit́e des ́equations de Hamilton-Jacobi
-
Springer-Verlag, Paris
-
G. Barles, Solutions de viscosit́e des ́equations de Hamilton-Jacobi, Math. Appl. (Berlin) 17, Springer-Verlag, Paris, 1994.
-
(1994)
Math. Appl. (Berlin)
, vol.17
-
-
Barles, G.1
-
5
-
-
0024070155
-
Exit time problems in optimal control and vanishing viscosity method
-
G. Barles and B. Perthame, Exit time problems in optimal control and vanishing viscosity method, SIAM J. Control Optim., 26 (1988), pp. 1133-1148.
-
(1988)
SIAM J. Control Optim.
, vol.26
, pp. 1133-1148
-
-
Barles, G.1
Perthame, B.2
-
6
-
-
0038379256
-
Viscosity solutions and analysis in L∞, in Nonlinear Analysis, Differential Equations and Control (Montreal, QC, 1998)
-
Kluwer Academic Publishers, Dordrecht, The Netherlands
-
E. N. Barron, Viscosity solutions and analysis in L∞, in Nonlinear Analysis, Differential Equations and Control (Montreal, QC, 1998), NATO Sci. Ser. C Math. Phys. Sci. 528, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999, pp. 1-60.
-
(1999)
NATO Sci. Ser. C Math. Phys. Sci.
, vol.528
, pp. 1-60
-
-
Barron, E.N.1
-
7
-
-
0000249116
-
The Bellman equation for minimizing the maximum cost
-
E. N. Barron and H. Ishii, The Bellman equation for minimizing the maximum cost, Nonlinear Anal., 13 (1989), pp. 1067-1090.
-
(1989)
Nonlinear Anal.
, vol.13
, pp. 1067-1090
-
-
Barron, E.N.1
Ishii, H.2
-
8
-
-
70349445280
-
Minimum time control problems for non-autonomous differential equations
-
O. Bokanowski, A. Briani, and H. Zidani, Minimum time control problems for non-autonomous differential equations, Systems Control Lett., 58 (2009), pp. 742-746.
-
(2009)
Systems Control Lett.
, vol.58
, pp. 742-746
-
-
Bokanowski, O.1
Briani, A.2
Zidani, H.3
-
9
-
-
85056018300
-
Deterministic state constrained optimal control problems without controllability assumptions
-
to appear
-
O. Bokanowski, N. Forcadel, and H. Zidani, Deterministic state constrained optimal control problems without controllability assumptions, ESAIM Control Optim. Calc. Var., to appear.
-
ESAIM Control Optim. Calc. Var.
-
-
Bokanowski, O.1
Forcadel, N.2
Zidani, H.3
-
10
-
-
84966227140
-
Hamilton-Jacobi equations with state constraints
-
I. Capuzzo-Dolcetta and P.-L. Lions, Hamilton-Jacobi equations with state constraints, Trans. Amer. Math. Soc., 318 (1990), pp. 643-683.
-
(1990)
Trans. Amer. Math. Soc.
, vol.318
, pp. 643-683
-
-
Capuzzo-Dolcetta, I.1
Lions, P.-L.2
-
11
-
-
0031192156
-
Optimal times for constrained nonlinear control problems without local controllability
-
P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre, Optimal times for constrained nonlinear control problems without local controllability, Appl. Math. Optim., 36 (1997), pp. 21-42.
-
(1997)
Appl. Math. Optim.
, vol.36
, pp. 21-42
-
-
Cardaliaguet, P.1
Quincampoix, M.2
Saint-Pierre, P.3
-
12
-
-
0034558073
-
Numerical schemes for discontinuous value function of optimal control
-
P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre, Numerical schemes for discontinuous value function of optimal control, Set-Valued Anal., 8 (2000), pp. 111-126.
-
(2000)
Set-Valued Anal.
, vol.8
, pp. 111-126
-
-
Cardaliaguet, P.1
Quincampoix, M.2
Saint-Pierre, P.3
-
13
-
-
0034780132
-
Pursuit differential games with state constraints
-
P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre, Pursuit differential games with state constraints, SIAM J. Control Optim., 39 (2001), pp. 1615-1632.
-
(2001)
SIAM J. Control Optim.
, vol.39
, pp. 1615-1632
-
-
Cardaliaguet, P.1
Quincampoix, M.2
Saint-Pierre, P.3
-
14
-
-
84966245867
-
Two approximations of solutions of Hamilton Jacobi equations
-
M. G. Crandall and P.-L. Lions, Two approximations of solutions of Hamilton Jacobi equations, Math. Comp., 43 (1984), pp. 1-19.
-
(1984)
Math. Comp.
, vol.43
, pp. 1-19
-
-
Crandall, M.G.1
Lions, P.-L.2
-
15
-
-
43949161376
-
Shape analysis via oriented distance functions
-
M. C. Delfour and J.-P. Zoĺesio, Shape analysis via oriented distance functions, J. Funct. Anal., 123 (1994), pp. 129-201.
-
(1994)
J. Funct. Anal.
, vol.123
, pp. 129-201
-
-
Delfour, M.C.1
Zoĺesio, J.-P.2
-
16
-
-
0002638071
-
Kalton, the Existence of Value in Differential Games
-
American Mathematical Society, Providence, RI
-
R. J. Elliott and N. J. Kalton, The Existence of Value in Differential Games, Memoirs of the American Mathematical Society, No. 126, American Mathematical Society, Providence, RI, 1972.
-
(1972)
Memoirs of the American Mathematical Society
, Issue.126
-
-
Elliott, R.J.1
N, J.2
-
17
-
-
0028518326
-
Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems
-
M. Falcone, T. Giorgi, and P. Loreti, Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems, SIAM J. Appl. Math., 54 (1994), pp. 1335-1354.
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 1335-1354
-
-
Falcone, M.1
Giorgi, T.2
Loreti, P.3
-
18
-
-
0034668428
-
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints
-
H. Frankowska and S. Plaskacz, Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints, J. Math. Anal. Appl., 251 (2000), pp. 818-838.
-
(2000)
J. Math. Anal. Appl.
, vol.251
, pp. 818-838
-
-
Frankowska, H.1
Plaskacz, S.2
-
19
-
-
0003561274
-
-
E. Godlewski and P.-A. Raviart, Hyperbolic Systems of Conservation Laws, Math. Appl. (Paris) 3/4, Ellipses, Paris, 1991.
-
(1991)
Hyperbolic Systems of Conservation Laws, Math. Appl. (Paris) 3/4, Ellipses, Paris
-
-
Godlewski, E.1
Raviart, P.-A.2
-
20
-
-
0030107199
-
A new formulation of state constraint problems for first-order PDEs
-
H. Ishii and S. Koike, A new formulation of state constraint problems for first-order PDEs, SIAM J. Control Optim., 34 (1996), pp. 554-571.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 554-571
-
-
Ishii, H.1
Koike, S.2
-
21
-
-
34547157009
-
Ellipsoidal techniques for reachability under state constraints
-
A. B. Kurzhanski and P. Varaiya, Ellipsoidal techniques for reachability under state constraints, SIAM J. Control Optim., 45 (2006), pp. 1369-1394.
-
(2006)
SIAM J. Control Optim.
, vol.45
, pp. 1369-1394
-
-
Kurzhanski, A.B.1
Varaiya, P.2
-
22
-
-
33750367185
-
Optimization techniques for state-constrained control and obstacle problems
-
A. B. Kurzhanski, I. M. Mitchell, and P. Varaiya, Optimization techniques for state-constrained control and obstacle problems, J. Optim. Theory Appl., 128 (2006), pp. 499-521.
-
(2006)
J. Optim. Theory Appl.
, vol.128
, pp. 499-521
-
-
Kurzhanski, A.B.1
Mitchell, I.M.2
Varaiya, P.3
-
23
-
-
2042449071
-
On reachability and minimum cost optimal control
-
J. Lygeros, On reachability and minimum cost optimal control, Automatica, 40 (2004), pp. 917-927.
-
(2004)
Automatica
, vol.40
, pp. 917-927
-
-
Lygeros, J.1
-
24
-
-
0033100636
-
Controllers for reachability specifications for hybrid systems
-
J. Lygeros, C. Tomlin, and S. Sastry, Controllers for reachability specifications for hybrid systems, Automatica, 35 (1999), pp. 349-370.
-
(1999)
Automatica
, vol.35
, pp. 349-370
-
-
Lygeros, J.1
Tomlin, C.2
Sastry, S.3
-
25
-
-
23144463781
-
A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
-
I. Mitchell, A. Bayen, and C. Tomlin, A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games, IEEE Trans. Automat. Control, 50 (2005), pp. 947-957.
-
(2005)
IEEE Trans. Automat. Control
, vol.50
, pp. 947-957
-
-
Mitchell, I.1
Bayen, A.2
Tomlin, C.3
-
26
-
-
0029376159
-
On nonlinear optimal control problems with state constraints
-
M. Motta, On nonlinear optimal control problems with state constraints, SIAM J. Control Optim., 33 (1995), pp. 1411-1424.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1411-1424
-
-
Motta, M.1
-
27
-
-
0026204106
-
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations
-
S. Osher and C.-W. Shu, High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM J. Numer. Anal., 28 (1991), pp. 907-922.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 907-922
-
-
Osher, S.1
Shu, C.-W.2
-
29
-
-
34249771510
-
Approximation of the viability kernel
-
P. Saint-Pierre, Approximation of the viability kernel, Appl. Math. Optim., 29 (1994), pp. 187-2009.
-
(1994)
Appl. Math. Optim.
, vol.29
, pp. 187-2009
-
-
Saint-Pierre, P.1
-
30
-
-
0022715502
-
Optimal control with state-space constraint. i
-
H. M. Soner, Optimal control with state-space constraint. I, SIAM J. Control Optim., 24 (1986), pp. 552-561.
-
(1986)
SIAM J. Control Optim.
, vol.24
, pp. 552-561
-
-
Soner, H.M.1
-
31
-
-
0022806544
-
Optimal control with state-space constraint. II
-
H. M. Soner, Optimal control with state-space constraint. II, SIAM J. Control Optim., 24 (1986), pp. 1110-1122.
-
(1986)
SIAM J. Control Optim.
, vol.24
, pp. 1110-1122
-
-
Soner, H.M.1
-
32
-
-
0027590036
-
Pursuit-evasion problems and viscosity solutions of Isaacs equations
-
P. Soravia, Pursuit-evasion problems and viscosity solutions of Isaacs equations, SIAM J. Control Optim., 31 (1993), pp. 604-623.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 604-623
-
-
Soravia, P.1
-
33
-
-
0000351902
-
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints
-
P. Soravia, Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints, Differential Integral Equations, 12 (1999), pp. 275-293.
-
(1999)
Differential Integral Equations
, vol.12
, pp. 275-293
-
-
Soravia, P.1
-
34
-
-
0000223358
-
On the existence of solutions to a differential game
-
P. P. Varaiya, On the existence of solutions to a differential game, SIAM J. Control Optim., 5 (1967), pp. 153-162.
-
(1967)
SIAM J. Control Optim.
, vol.5
, pp. 153-162
-
-
Varaiya, P.P.1
|