-
1
-
-
0003796630
-
-
Academic Press, New York, London
-
R.A. Adams, Sobolev Spaces, Academic Press, New York, London, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
3
-
-
0011074435
-
On the Bellman equation for some unbounded control problems
-
M. Bardi and F. Da Lio, On the Bellman equation for some unbounded control problems, Nonlinear Differential Equations Appl., 4 (1997), pp. 491-510.
-
(1997)
Nonlinear Differential Equations Appl.
, vol.4
, pp. 491-510
-
-
Bardi, M.1
Da Lio, F.2
-
4
-
-
0031696789
-
Some results on risk-sensitive control with full observation
-
A. Bensoussan, J. Frehse, and H. Nagai, Some results on risk-sensitive control with full observation, Appl. Math. Optim., 37 (1998), pp. 1-42.
-
(1998)
Appl. Math. Optim.
, vol.37
, pp. 1-42
-
-
Bensoussan, A.1
Frehse, J.2
Nagai, H.3
-
5
-
-
0034262557
-
Conditions for no breakdown and Bellman equations of risk-sensitive control
-
to appear
-
A. Bensoussan and H. Nagai, Conditions for no breakdown and Bellman equations of risk-sensitive control, Appl. Math. Optim., to appear.
-
Appl. Math. Optim.
-
-
Bensoussan, A.1
Nagai, H.2
-
6
-
-
0021455757
-
Optimal control of partially observable stochastic systems with an exponential-of-integral performance index
-
A. Bensoussan and J.H. van Schuppen, Optimal control of partially observable stochastic systems with an exponential-of-integral performance index, SIAM J. Control Optim., 23, (1985), pp. 599-613.
-
(1985)
SIAM J. Control Optim.
, vol.23
, pp. 599-613
-
-
Bensoussan, A.1
Van Schuppen, J.H.2
-
9
-
-
0031272837
-
Risk-sensitive and robust escape criteria
-
P. Dupuis and W.M. McEneaney, Risk-sensitive and robust escape criteria, SIAM J. Control Optim., 35 (1997), pp. 2021-2049.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 2021-2049
-
-
Dupuis, P.1
McEneaney, W.M.2
-
12
-
-
0028529209
-
Centralized and decentralized solutions of the linear-exponential-Gaussian problem
-
C.-H. Fan, J.L. Speyer, and C.R. Jaensch, Centralized and decentralized solutions of the linear-exponential-Gaussian problem, IEEE Trans. Automat. Control, 39 (1994), pp. 1986-2003.
-
(1994)
IEEE Trans. Automat. Control
, vol.39
, pp. 1986-2003
-
-
Fan, C.-H.1
Speyer, J.L.2
Jaensch, C.R.3
-
13
-
-
0028738721
-
Risk-sensitive optimal control of hidden Markov models: A case study
-
E. Fernandez-Gaucherand and S.I. Marcus, Risk-sensitive optimal control of hidden Markov models: A case study, in Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, FL, 1994, pp. 1657-1662.
-
Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, FL, 1994
, pp. 1657-1662
-
-
Fernandez-Gaucherand, E.1
Marcus, S.I.2
-
14
-
-
0011070452
-
The Cauchy problem for degenerate parabolic equations
-
W.H. Fleming, The Cauchy problem for degenerate parabolic equations, J. Mathematics and Mechanics, 13 (1964), pp. 987-1008.
-
(1964)
J. Mathematics and Mechanics
, vol.13
, pp. 987-1008
-
-
Fleming, W.H.1
-
15
-
-
0031233725
-
Risk-sensitive control of finite state machines on an infinite horizon
-
W.H. Fleming and D. Hernandez-Hernandez, Risk-sensitive control of finite state machines on an infinite horizon I, SIAM J. Control Optim., 35 (1997), pp. 1790-1810.
-
(1997)
I, SIAM J. Control Optim.
, vol.35
, pp. 1790-1810
-
-
Fleming, W.H.1
Hernandez-Hernandez, D.2
-
17
-
-
0001614979
-
Risk-sensitive optimal control and differential games
-
Springer-Verlag, New York
-
W.H. Fleming and W.M. McEneaney, Risk-sensitive optimal control and differential games, in Proceedings of the Stochastic Theory and Adaptive Controls Workshop, Lecture Notes in Control and Inform. Sci. 184, Springer-Verlag, New York, 1992.
-
(1992)
Proceedings of the Stochastic Theory and Adaptive Controls Workshop, Lecture Notes in Control and Inform. Sci.
, vol.184
-
-
Fleming, W.H.1
McEneaney, W.M.2
-
19
-
-
0001234347
-
Risk-sensitive control on an infinite time horizon
-
W.H. Fleming and W.M. McEneaney, Risk-sensitive control on an infinite time horizon, SIAM J. Control Optim., 33 (1995), pp. 1881-1915.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1881-1915
-
-
Fleming, W.H.1
McEneaney, W.M.2
-
20
-
-
0000873359
-
A max-plus-based algorithm for a Hamilton-Jacobi-Bellman equation of nonlinear filtering
-
W.H. Fleming and W.M. McEneaney, A max-plus-based algorithm for a Hamilton-Jacobi-Bellman equation of nonlinear filtering, SIAM J. Control Optim., 38 (2000), pp. 683-710.
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 683-710
-
-
Fleming, W.H.1
McEneaney, W.M.2
-
22
-
-
0003423896
-
Controlled Markov processes and viscosity solutions
-
Springer-Verlag, New York
-
W.H. Fleming and H.M. Soner, Controlled Markov Processes and Viscosity Solutions, Springer-Verlag, New York, 1992.
-
(1992)
-
-
Fleming, W.H.1
Soner, H.M.2
-
23
-
-
0031320509
-
Asymptotics for the first eigenvalue and eigenfunction of a nearly first order operator with large potential
-
W.H. Fleming and S.-J. Sheu, Asymptotics for the first eigenvalue and eigenfunction of a nearly first order operator with large potential, Ann. Probab., 25 (1997), pp. 1953-1994.
-
(1997)
Ann. Probab.
, vol.25
, pp. 1953-1994
-
-
Fleming, W.H.1
Sheu, S.-J.2
-
24
-
-
0000097584
-
On the existence of value functions of two-player, zero-sum stochastic differential games
-
W.H. Fleming and P.E. Souganidis, On the existence of value functions of two-player, zero-sum stochastic differential games, Indiana Univ. Math. J., 38 (1989), pp. 293-314.
-
(1989)
Indiana Univ. Math. J.
, vol.38
, pp. 293-314
-
-
Fleming, W.H.1
Souganidis, P.E.2
-
25
-
-
0000259956
-
On transforming a certain class of stochastic processes by absolutely continuous substitution of measures
-
I.V. Girsanov, On transforming a certain class of stochastic processes by absolutely continuous substitution of measures, Theory Probab. Appl., 5 (1960), pp. 285-301.
-
(1960)
Theory Probab. Appl.
, vol.5
, pp. 285-301
-
-
Girsanov, I.V.1
-
26
-
-
0011104022
-
Comparison results for Hamilton-Jacobi equations without growth condition on solutions from above
-
H. Ishii, Comparison results for Hamilton-Jacobi equations without growth condition on solutions from above, Appl. Anal., 67 (1997), pp. 357-372.
-
(1997)
Appl. Anal.
, vol.67
, pp. 357-372
-
-
Ishii, H.1
-
27
-
-
0011102901
-
A singular limit on risk sensitive control and semi-classical analysis
-
S. Watanabe et al., eds., World Scientific, River Edge, NJ
-
H. Ishii, H. Nagai, and F. Teramoto, A singular limit on risk sensitive control and semi-classical analysis, in Proceedings of the 7th Japan-Russia Symposium on Probability Theory and Math. Stats., S. Watanabe et al., eds., World Scientific, River Edge, NJ, 1996, pp. 164-173.
-
(1996)
Proceedings of the 7th Japan-Russia Symposium on Probability Theory and Math. Stats.
, pp. 164-173
-
-
Ishii, H.1
Nagai, H.2
Teramoto, F.3
-
28
-
-
0015615984
-
Optimal stochastic linear systems with exponential criteria and their relation to deterministic differential games
-
D.H. Jacobson, Optimal stochastic linear systems with exponential criteria and their relation to deterministic differential games, IEEE Trans. Automat. Control, 18 (1973), pp. 124-131.
-
(1973)
IEEE Trans. Automat. Control
, vol.18
, pp. 124-131
-
-
Jacobson, D.H.1
-
29
-
-
0026449891
-
Asymptotic analysis of non-linear stochastic risk-sensitive control and differential games
-
M.R. James, Asymptotic analysis of non-linear stochastic risk-sensitive control and differential games, Math. Control Signals Systems, 5 (1992), pp. 401-417.
-
(1992)
Math. Control Signals Systems
, vol.5
, pp. 401-417
-
-
James, M.R.1
-
30
-
-
0027875576
-
Output feedback risk-sensitive control and differential games for continuous-time nonlinear systems
-
M.R. James, J.S. Baras, and R.J. Elliott, Output feedback risk-sensitive control and differential games for continuous-time nonlinear systems, in Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, TX, 1993.
-
Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, TX, 1993
-
-
James, M.R.1
Baras, J.S.2
Elliott, R.J.3
-
31
-
-
0001287348
-
Bellman-Isaacs equations of ergodic type related to risk-sensitive control and their singular limits
-
H. Kaise and H. Nagai, Bellman-Isaacs equations of ergodic type related to risk-sensitive control and their singular limits, Asympt. Anal., 16 (1998), pp. 347-362.
-
(1998)
Asympt. Anal.
, vol.16
, pp. 347-362
-
-
Kaise, H.1
Nagai, H.2
-
32
-
-
0004171561
-
Brownian motion and stochastic calculus
-
Springer-Verlag, New York, Berlin
-
I. Karatzas and S.E. Shreve, Brownian Motion and Stochastic Calculus, Springer-Verlag, New York, Berlin, 1988
-
(1988)
-
-
Karatzas, I.1
Shreve, S.E.2
-
33
-
-
0000458852
-
Valeur moyenne pour gradient généralisé
-
G. Lebourg, Valeur moyenne pour gradient généralisé, Co. R. Acad. Sci. Paris, 281 (1975), pp. 795-797.
-
(1975)
Co. R. Acad. Sci. Paris
, vol.281
, pp. 795-797
-
-
Lebourg, G.1
-
34
-
-
0021453741
-
Differential games, optimal control and directional derivatives of viscosity solutions of Bellman's and Isaacs' equations
-
P.-L. Lions and P.E. Souganidis, Differential games, optimal control and directional derivatives of viscosity solutions of Bellman's and Isaacs' equations, SIAM J. Control Optim., 23 (1985), pp. 566-583.
-
(1985)
SIAM J. Control Optim.
, vol.23
, pp. 566-583
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
36
-
-
0004325876
-
Statistics of random processes, I
-
Springer-Verlag, New York, Berlin
-
R.S. Lipster and A.N. Shiryayev, Statistics of Random Processes, I, Springer-Verlag, New York, Berlin, 1977.
-
(1977)
-
-
Lipster, R.S.1
Shiryayev, A.N.2
-
39
-
-
84860099937
-
∞ control DPEs
-
∞ control DPEs, in Proceedings of the Seventh International Symposium on Dynamic Games and Applications, Shonan Village, Japan, International Society of Dynamic Games, 1996, pp. 662-671.
-
Proceedings of the Seventh International Symposium on Dynamic Games and Applications, Shonan Village, Japan, International Society of Dynamic Games, 1996
, pp. 662-671
-
-
McEneaney, W.M.1
-
41
-
-
0029492032
-
Robust control and differential games on a finite time horizon
-
W.M. McEneaney, Robust control and differential games on a finite time horizon, Math. Control Signals Systems, 8 (1995), pp. 138-166.
-
(1995)
Math. Control Signals Systems
, vol.8
, pp. 138-166
-
-
McEneaney, W.M.1
-
42
-
-
0029378615
-
Uniqueness for viscosity solutions of nonstationary Hamilton-Jacobi-Bellman equations under some a priori conditions (with applications)
-
W.M. McEneaney, Uniqueness for viscosity solutions of nonstationary Hamilton-Jacobi-Bellman equations under some a priori conditions (with applications), SIAM J. Control Optim., 33 (1995), pp. 1560-1576.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1560-1576
-
-
McEneaney, W.M.1
-
43
-
-
0011075319
-
∞ control: The nonlinear case
-
Doctoral Thesis, Brown University, Providence, RI
-
∞ Control: The Nonlinear Case, Doctoral Thesis, Brown University, Providence, RI, 1993.
-
(1993)
-
-
McEneaney, W.M.1
-
44
-
-
0029778591
-
Bellman equations of risk-sensitive control
-
H. Nagai, Bellman equations of risk-sensitive control, SIAM J. Control Optim., 34 (1996), pp. 74-101.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 74-101
-
-
Nagai, H.1
-
45
-
-
0001609275
-
Quasi-linear parabolic equations of the second order with many independent variables
-
O.A. Oleinik and S.N. Kruzhkov, Quasi-linear parabolic equations of the second order with many independent variables, Uspekhi Mat. Nauk., 16 (1961), pp. 115-155.
-
(1961)
Uspekhi Mat. Nauk.
, vol.16
, pp. 115-155
-
-
Oleinik, O.A.1
Kruzhkov, S.N.2
-
46
-
-
0344182421
-
Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion
-
Z. Pan and T. Başar, Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion, SIAM J. Control Optim., 37 (1999), pp. 957-995.
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 957-995
-
-
Pan, Z.1
Başar, T.2
-
47
-
-
24544473172
-
The equivalence between infinite-horizon optimal control of stochastic systems with exponential-of-integral performance index and stochastic differential games
-
Technical report JHU-ECE, John Hopkins University, Baltimore, MD
-
T. Runolfsson, The Equivalence Between Infinite-Horizon Optimal Control of Stochastic Systems with Exponential-of-Integral Performance Index and Stochastic Differential Games, Technical report JHU-ECE, John Hopkins University, Baltimore, MD, pp. 91-07.
-
-
-
Runolfsson, T.1
-
49
-
-
0030589793
-
Another approach to the existence of value functions of stochastic differential games
-
A. Swiech, "Another approach to the existence of value functions of stochastic differential games, J. Math. Anal. Appl., 204 (1996), pp. 884-897.
-
(1996)
J. Math. Anal. Appl.
, vol.204
, pp. 884-897
-
-
Swiech, A.1
-
50
-
-
0000028686
-
On strong solutions and explicit formulas for solutions of stochastic integral equations
-
A.J. Veretennikov, On strong solutions and explicit formulas for solutions of stochastic integral equations, Math. USSR Sbornik, 39 (1981), pp. 387-403.
-
(1981)
Math. USSR Sbornik
, vol.39
, pp. 387-403
-
-
Veretennikov, A.J.1
-
51
-
-
0001667951
-
Risk-sensitive linear/quadratic/Gaussian control
-
P. Whittle, Risk-sensitive linear/quadratic/Gaussian control, Adv. Appl. Prob., 13 (1981), pp. 764-777.
-
(1981)
Adv. Appl. Prob.
, vol.13
, pp. 764-777
-
-
Whittle, P.1
-
52
-
-
0025488368
-
A risk-sensitive maximum principle
-
P. Whittle, A risk-sensitive maximum principle, Systems Control Lett., 15 (1990), pp. 183-192.
-
(1990)
Systems Control Lett.
, vol.15
, pp. 183-192
-
-
Whittle, P.1
|