-
1
-
-
0024481140
-
Optimality conditions for some nonqualified problems of distributed control
-
F. ABERGEL AND R. TEMAM, Optimality conditions for some nonqualified problems of distributed control, SIAM J. Control Optim., 27 (1989), pp. 1-12.
-
(1989)
SIAM J. Control Optim.
, vol.27
, pp. 1-12
-
-
Abergel, F.1
Temam, R.2
-
3
-
-
0031109004
-
Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls
-
J. J. ALIBERT AND J. P. RAYMOND, Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls, Numer. Funct. Anal. Optim., 18 (1997), pp. 235-250.
-
(1997)
Numer. Funct. Anal. Optim.
, vol.18
, pp. 235-250
-
-
Alibert, J.J.1
Raymond, J.P.2
-
5
-
-
85034465709
-
A boundary control problem with parabolic dynamic and final boundary observation
-
M. Sofonea and J. N. Corvellec, eds., Presses Universitaires de Perpignan, Perpignan, France
-
D. AZÉ AND S. BOLINTINÉANU, A boundary control problem with parabolic dynamic and final boundary observation, in Proc. 2nd Catalan Days on Applied Mathematics, M. Sofonea and J. N. Corvellec, eds., Presses Universitaires de Perpignan, Perpignan, France, 1995, pp. 12-25.
-
(1995)
Proc. 2nd Catalan Days on Applied Mathematics
, pp. 12-25
-
-
Azé, D.1
Bolintinéanu, S.2
-
7
-
-
1542624375
-
Optimal control of parabolic problems with state constraints: A penalization method for optimality conditions
-
M. BERGOUNIOUX, Optimal control of parabolic problems with state constraints: A penalization method for optimality conditions, Appl. Math. Optim., 29 (1994), pp. 285-307.
-
(1994)
Appl. Math. Optim.
, vol.29
, pp. 285-307
-
-
Bergounioux, M.1
-
8
-
-
0001654425
-
An extension of Pontryagin's principle for state constrained optimal control of semilinear elliptic equations and variational inequalities
-
J. F. BONNANS AND E. CASAS, An extension of Pontryagin's principle for state constrained optimal control of semilinear elliptic equations and variational inequalities, SIAM J. Control Optim., 33 (1995), pp. 274-298.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 274-298
-
-
Bonnans, J.F.1
Casas, E.2
-
9
-
-
0026118632
-
Calmness and exact penalization
-
J. V. BURKE, Calmness and exact penalization, SIAM J. Control Optim. 29 (1991), pp. 493-497.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 493-497
-
-
Burke, J.V.1
-
10
-
-
0022810709
-
Control of an elliptic problem with pointwise state constraints
-
E. CASAS, Control of an elliptic problem with pointwise state constraints, SIAM J. Control Optim., 24 (1986), pp. 1309-1318.
-
(1986)
SIAM J. Control Optim.
, vol.24
, pp. 1309-1318
-
-
Casas, E.1
-
11
-
-
0027623859
-
Boundary control of semilinear elliptic equations with pointwise state constraints
-
E. CASAS, Boundary control of semilinear elliptic equations with pointwise state constraints, SIAM J. Control Optim., 31 (1993), pp. 993-1006.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 993-1006
-
-
Casas, E.1
-
12
-
-
0031189751
-
Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations
-
E. CASAS, Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations, SIAM J. Control Optim., 35 (1997), pp. 1297-1327.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 1297-1327
-
-
Casas, E.1
-
13
-
-
84972525877
-
Maximum principle for state constrained optimal control problems governed by quasilinear elliptic equations
-
E. CASAS AND J. YONG, Maximum principle for state constrained optimal control problems governed by quasilinear elliptic equations, Differential Integral Equations, 8 (1995), pp. 1-18.
-
(1995)
Differential Integral Equations
, vol.8
, pp. 1-18
-
-
Casas, E.1
Yong, J.2
-
15
-
-
0017016966
-
The maximum principle under minimal hypotheses
-
F. H. CLARKE, The maximum principle under minimal hypotheses, SIAM J. Control Optim., 14 (1976), pp. 1078-1091.
-
(1976)
SIAM J. Control Optim.
, vol.14
, pp. 1078-1091
-
-
Clarke, F.H.1
-
18
-
-
0003317987
-
Geometry of Banach Spaces - Selected Topics
-
Springer-Verlag, Berlin
-
J. DIESTEL, Geometry of Banach Spaces - Selected Topics, Lecture Notes in Math. 485, Springer-Verlag, Berlin, 1975.
-
(1975)
Lecture Notes in Math.
, vol.485
-
-
Diestel, J.1
-
19
-
-
0016092731
-
On the variational principle
-
I. EKELAND, On the variational principle, J. Math. Anal. Appl., 47 (1974), pp. 324-353.
-
(1974)
J. Math. Anal. Appl.
, vol.47
, pp. 324-353
-
-
Ekeland, I.1
-
20
-
-
84966198944
-
Nonconvex minimization problems
-
I. EKELAND, Nonconvex minimization problems, Bull. Amer. Math. Soc. N.S., 1 (1979), pp. 443-474.
-
(1979)
Bull. Amer. Math. Soc. N.S.
, vol.1
, pp. 443-474
-
-
Ekeland, I.1
-
21
-
-
34250100696
-
A unified theory of necessary conditions for nonlinear nonconvex control systems
-
H. O. FATTORINI, A unified theory of necessary conditions for nonlinear nonconvex control systems, Appl. Math. Optim., 15 (1987), pp. 141-185.
-
(1987)
Appl. Math. Optim.
, vol.15
, pp. 141-185
-
-
Fattorini, H.O.1
-
22
-
-
0039336264
-
Optimal control problems with state constraints for semilinear distributed-parameter systems
-
H. O. FATTORINI, Optimal control problems with state constraints for semilinear distributed-parameter systems, J. Optim. Theory Appl., 88 (1996), pp. 25-59.
-
(1996)
J. Optim. Theory Appl.
, vol.88
, pp. 25-59
-
-
Fattorini, H.O.1
-
23
-
-
84972519728
-
Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
-
H. O. FATTORINI AND T. MURPHY, Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition, Differential Integral Equations, 7 (1994), pp. 1367-1388.
-
(1994)
Differential Integral Equations
, vol.7
, pp. 1367-1388
-
-
Fattorini, H.O.1
Murphy, T.2
-
24
-
-
0028538715
-
Optimal problems for nonlinear parabolic boundary control systems
-
H. O. FATTORINI AND T. MURPHY, Optimal problems for nonlinear parabolic boundary control systems, SIAM J. Control Optim., 32 (1994), pp. 1577-1596.
-
(1994)
SIAM J. Control Optim.
, vol.32
, pp. 1577-1596
-
-
Fattorini, H.O.1
Murphy, T.2
-
25
-
-
84973966012
-
Necessary and sufficient conditions for optimal controls in viscous flow problems
-
H. O. FATTORINI AND S. SRITHARAN, Necessary and sufficient conditions for optimal controls in viscous flow problems, Proc. Roy. Soc. Edinburgh Sect. A, 124 (1994), pp. 211-251.
-
(1994)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.124
, pp. 211-251
-
-
Fattorini, H.O.1
Sritharan, S.2
-
26
-
-
0001437975
-
Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints
-
B. HU AND J. YONG, Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints, SIAM J. Control Optim., 33 (1995), pp. 1857-1880.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1857-1880
-
-
Hu, B.1
Yong, J.2
-
27
-
-
0003223550
-
Linear and Quasilinear Equations of Parabolic Type
-
AMS, Providence, RI
-
O. A. LADYZENSKAJA, V. A. SOLONNIKOV, AND N. N. URAL'CEVA, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monographs 23, AMS, Providence, RI, 1968.
-
(1968)
Transl. Math. Monographs
, vol.23
-
-
Ladyzenskaja, O.A.1
Solonnikov, V.A.2
Ural'ceva, N.N.3
-
28
-
-
1542624376
-
Vector-valued measure and the necessary conditions for the optimal control problems of linear systems
-
X. J. LI, Vector-valued measure and the necessary conditions for the optimal control problems of linear systems, J. Math. Res. Exposition, 4 (1984), pp. 51-56.
-
(1984)
J. Math. Res. Exposition
, vol.4
, pp. 51-56
-
-
Li, X.J.1
-
29
-
-
0023401101
-
Maximum principle of optimal control for functional differential systems
-
X. J. LI AND S. N. CHOW, Maximum principle of optimal control for functional differential systems, J. Optim. Theory Appl., 54 (1987), pp. 335-360.
-
(1987)
J. Optim. Theory Appl.
, vol.54
, pp. 335-360
-
-
Li, X.J.1
Chow, S.N.2
-
30
-
-
0039177194
-
Maximum principle of distributed parameter systems with time lags
-
F. Kappel and K. Kunish, eds., Springer-Verlag, New York
-
X. J. LI AND Y. YAO, Maximum principle of distributed parameter systems with time lags, in Proc. Conference on Control Theory of Distributed Parameter Systems and Applications, F. Kappel and K. Kunish, eds., Springer-Verlag, New York, 1985, pp. 410-427.
-
(1985)
Proc. Conference on Control Theory of Distributed Parameter Systems and Applications
, pp. 410-427
-
-
Li, X.J.1
Yao, Y.2
-
31
-
-
0026188882
-
Necessary conditions for optimal control of distributed parameter systems
-
X. J. LI AND J. YONG, Necessary conditions for optimal control of distributed parameter systems, SIAM J. Control Optim., 29 (1991), pp. 895-908.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 895-908
-
-
Li, X.J.1
Yong, J.2
-
33
-
-
0020135191
-
Convex parabolic boundary control problems with pointwise state constraints
-
U. MACKENROTH, Convex parabolic boundary control problems with pointwise state constraints, J. Math. Anal. Appl., 87 (1982), pp. 256-277.
-
(1982)
J. Math. Anal. Appl.
, vol.87
, pp. 256-277
-
-
Mackenroth, U.1
-
34
-
-
0031511775
-
Nonlinear boundary control of semilinear parabolic equations with pointwise state constraints
-
J. P. RAYMOND, Nonlinear boundary control of semilinear parabolic equations with pointwise state constraints, Discrete Continuous Dynam. Systems, 3 (1997), pp. 341-370.
-
(1997)
Discrete Continuous Dynam. Systems
, vol.3
, pp. 341-370
-
-
Raymond, J.P.1
-
35
-
-
73249137396
-
Optimal control problem governed by a semilinear parabolic equation with pointwise state constraints
-
K. Malanowski et al., eds., Chapman and Hall, London
-
J. P. RAYMOND, Optimal control problem governed by a semilinear parabolic equation with pointwise state constraints, in Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, K. Malanowski et al., eds., Chapman and Hall, London, 1996, pp. 216-222.
-
(1996)
Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering
, pp. 216-222
-
-
Raymond, J.P.1
-
36
-
-
1542624378
-
Pontryagin's principle for state-constrained control problems with unbounded controls
-
M. Sofonea and J. N. Corvellec, eds., Presses Universitaires de Perpignan, Perpignan, France
-
J. P. RAYMOND, Pontryagin's principle for state-constrained control problems with unbounded controls, in Proc. 2nd Catalan Days on Applied Mathematics, M. Sofonea and J. N. Corvellec, eds., Presses Universitaires de Perpignan, Perpignan, France, 1995, pp. 227-237.
-
(1995)
Proc. 2nd Catalan Days on Applied Mathematics
, pp. 227-237
-
-
Raymond, J.P.1
-
37
-
-
85034487440
-
Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
-
to appear
-
J. P. RAYMOND AND H. ZIDANI, Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations, Appl. Math. Optim., to appear.
-
Appl. Math. Optim.
-
-
Raymond, J.P.1
Zidani, H.2
-
38
-
-
0001769190
-
Optimal control problem governed by a semilinear parabolic equation
-
J. Dolezal and J. Fidler, eds., Chapman and Hall
-
J. P. RAYMOND AND H. ZIDANI, Optimal control problem governed by a semilinear parabolic equation, in System Modelling and Optimization, J. Dolezal and J. Fidler, eds., Chapman and Hall, 1996, pp. 211-217.
-
(1996)
System Modelling and Optimization
, pp. 211-217
-
-
Raymond, J.P.1
Zidani, H.2
-
39
-
-
0002883710
-
Optimality Conditions for Parabolic Control Problems and Applications
-
B.G. Teubner Verlagsgesellshaft, Leipzig
-
F. TRÖLTZSCH, Optimality Conditions for Parabolic Control Problems and Applications, Teubner-Texte zür Mathematik 62, B.G. Teubner Verlagsgesellshaft, Leipzig, 1984.
-
(1984)
Teubner-Texte Zür Mathematik
, vol.62
-
-
Tröltzsch, F.1
-
40
-
-
0004053952
-
Vector measure and maximum principle of distributed parameter systems
-
Y. YAO, Vector measure and maximum principle of distributed parameter systems, Sci. Sinica Ser., 26 (1983), pp. 102-112.
-
(1983)
Sci. Sinica Ser.
, vol.26
, pp. 102-112
-
-
Yao, Y.1
-
42
-
-
84972537249
-
Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
-
J. YONG, Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints, Differential Integral Equations, 5 (1992), pp. 1307-1334.
-
(1992)
Differential Integral Equations
, vol.5
, pp. 1307-1334
-
-
Yong, J.1
|