메뉴 건너뛰기




Volumn 36, Issue 3, 1998, Pages 814-839

Differential games with unbounded versus bounded controls

Author keywords

Differential games; Slow growth; Upper and lower values

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONTROL THEORY; PARAMETER ESTIMATION;

EID: 0032072675     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012995294602     Document Type: Article
Times cited : (8)

References (30)
  • 3
    • 0002276173 scopus 로고
    • A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability
    • M. BARDI AND P. SORAVIA, A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability, Funkcial. Ekvac., 37 (1994), pp. 19-43.
    • (1994) Funkcial. Ekvac. , vol.37 , pp. 19-43
    • Bardi, M.1    Soravia, P.2
  • 4
    • 0000249116 scopus 로고
    • The Bellman equation for minimizing the maximum cost
    • E. N. BARRON AND H. ISHI, 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    Ishi, H.2
  • 5
    • 0002443954 scopus 로고
    • Optimal control and differential games with measures
    • E. N. BARRON, R. JENSEN, AND J. L. MENALDI, Optimal control and differential games with measures, Nonlinear Anal., 21 (1993), pp. 241-268.
    • (1993) Nonlinear Anal. , vol.21 , pp. 241-268
    • Barron, E.N.1    Jensen, R.2    Menaldi, J.L.3
  • 8
    • 0010989857 scopus 로고
    • On differential systems with vector-valued impulsive controls
    • A. BRESSAN AND F. RAMPAZZO, On differential systems with vector-valued impulsive controls, Boll. Un. Mat. Ital. (7), 2 (1988), pp. 641-656.
    • (1988) Boll. Un. Mat. Ital. , vol.2 , Issue.7 , pp. 641-656
    • Bressan, A.1    Rampazzo, F.2
  • 9
    • 0026238204 scopus 로고
    • Impulsive control systems with commutative vector fields
    • A. BRESSAN AND F. RAMPAZZO, Impulsive control systems with commutative vector fields, J. Optim. Theory Appl., 71 (1991), pp. 67-83.
    • (1991) J. Optim. Theory Appl. , vol.71 , pp. 67-83
    • Bressan, A.1    Rampazzo, F.2
  • 10
    • 0001921164 scopus 로고
    • The optimal exploitation of renewable resource stocks
    • C. W. CLARK, F. H. CLARKE, AND G. R. MUNRO, The optimal exploitation of renewable resource stocks, Econometrics, 48 (1979), pp. 25-47.
    • (1979) Econometrics , vol.48 , pp. 25-47
    • Clark, C.W.1    Clarke, F.H.2    Munro, G.R.3
  • 11
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M. G. CRANDALL, L. C. EVANS, AND P. L. LIONS, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 282 (1984), pp. 487-502.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.L.3
  • 12
    • 1542399561 scopus 로고
    • A multi-state, multi-control problem with unbounded controls
    • J. R. DORROH AND G. FERREYRA, A multi-state, multi-control problem with unbounded controls, SIAM J. Control Optim., 34 (1994), pp. 25-47.
    • (1994) SIAM J. Control Optim. , vol.34 , pp. 25-47
    • Dorroh, J.R.1    Ferreyra, G.2
  • 13
    • 0000102846 scopus 로고
    • Differential games and representation formulas of Hamilton-Jacobi equations
    • L. C. EVANS AND P. E. SOUGANIDIS, Differential games and representation formulas of Hamilton-Jacobi equations, Indiana Univ. Math. J., 33 (1984), pp. 773-797.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 773-797
    • Evans, L.C.1    Souganidis, P.E.2
  • 14
    • 0039099148 scopus 로고
    • Book review of S. G. Pandit, S. G. Deo
    • Differential Systems Involving Impulses, Lecture Notes in Math. 954, Springer-Verlag, Berlin-New York, 1982
    • O. HÁJEK, Book review of S. G. Pandit, S. G. Deo, Differential Systems Involving Impulses, Lecture Notes in Math. 954, Springer-Verlag, Berlin-New York, 1982, Bull. Amer. Math. Soc., 12 (1985), pp. 272-279.
    • (1985) Bull. Amer. Math. Soc. , vol.12 , pp. 272-279
    • Hájek, O.1
  • 18
    • 0010958335 scopus 로고
    • The generalized solutions of ordinary differential equations in the impulse control problems
    • B. M. MILLER, The generalized solutions of ordinary differential equations in the impulse control problems, J. Math. Systems Estim. Control, 4 (1994), pp. 385-388.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 385-388
    • Miller, B.M.1
  • 19
    • 84972526505 scopus 로고
    • Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls
    • M. MOTTA AND F. RAMPAZZO, Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls, Differential Integral Equations, 8 (1995), pp. 269-288.
    • (1995) Differential Integral Equations , vol.8 , pp. 269-288
    • Motta, M.1    Rampazzo, F.2
  • 20
    • 0007216410 scopus 로고    scopus 로고
    • Nonlinear systems with unbounded controls and state constraints: A problem of proper extension
    • M. MOTTA AND F. RAMPAZZO, Nonlinear systems with unbounded controls and state constraints: A problem of proper extension, Nonlinear Differential Equations Appl., 3 (1996), pp. 191-216.
    • (1996) Nonlinear Differential Equations Appl. , vol.3 , pp. 191-216
    • Motta, M.1    Rampazzo, F.2
  • 21
    • 0029733049 scopus 로고    scopus 로고
    • Dynamic programming for nonlinear systems driven by ordinary and impulsive controls
    • M. MOTTA AND F. RAMPAZZO, Dynamic programming for nonlinear systems driven by ordinary and impulsive controls, SIAM J. Control Optim., 34 (1996), pp. 199-225.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 199-225
    • Motta, M.1    Rampazzo, F.2
  • 22
    • 0030645256 scopus 로고    scopus 로고
    • The value function of a slow growth control problem with state constraints (short version)
    • M. MOTTA AND F. RAMPAZZO, The value function of a slow growth control problem with state constraints (short version), J. Math. Systems Estim. Control, 7 (1997), pp. 375-378.
    • (1997) J. Math. Systems Estim. Control , vol.7 , pp. 375-378
    • Motta, M.1    Rampazzo, F.2
  • 23
    • 0013502111 scopus 로고
    • A general theory of minimum-fuel space trajectories
    • L. W. NEUSTADT, A general theory of minimum-fuel space trajectories, SIAM J. Control, 3 (1965). pp. 317-356.
    • (1965) SIAM J. Control , vol.3 , pp. 317-356
    • Neustadt, L.W.1
  • 24
    • 0031215225 scopus 로고    scopus 로고
    • Continuity of the Upper and Lower Value of Slow Growth Differential Games
    • F. RAMPAZZO, Continuity of the Upper and Lower Value of Slow Growth Differential Games, J. Math. Anal. Appl., 213 (1997), pp. 15-31.
    • (1997) J. Math. Anal. Appl. , vol.213 , pp. 15-31
    • Rampazzo, F.1
  • 25
    • 1542399563 scopus 로고
    • Nonlinear differential equations in the class of functions of bounded variation
    • A. SESEKIN. Nonlinear differential equations in the class of functions of bounded variation, Automat. Remote Control, 1990, pp. 1356-1361.
    • (1990) Automat. Remote Control , pp. 1356-1361
    • Sesekin, A.1
  • 26
    • 0001133266 scopus 로고
    • Dynamic optimal control problems in advertising: A survey
    • S. P. SETHI, Dynamic optimal control problems in advertising: A survey, SIAM Rev., 19 (1977), pp. 685-725.
    • (1977) SIAM Rev. , vol.19 , pp. 685-725
    • Sethi, S.P.1
  • 27
    • 0030151815 scopus 로고    scopus 로고
    • Hoc control of nonlinear systems: Differential games and viscosity solutions
    • P. SORAVIA, Hoc control of nonlinear systems: Differential games and viscosity solutions, SIAM J. Control Optim., 34 (1996), pp. 1071-1097.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1071-1097
    • Soravia, P.1
  • 29
    • 0040093026 scopus 로고
    • Zero-sum differential games involving impulse controls
    • J. YONG, Zero-sum differential games involving impulse controls, Appl. Math. Optim., 29 (1994), pp. 243-261.
    • (1994) Appl. Math. Optim. , vol.29 , pp. 243-261
    • Yong, J.1
  • 30
    • 84972566521 scopus 로고
    • Perron's method for Hamilton-Jacobi equations
    • H. ISHII, Perron's method for Hamilton-Jacobi equations, Duke Math. J., 55 (1987), pp. 369-384.
    • (1987) Duke Math. J. , vol.55 , pp. 369-384
    • Ishii, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.