메뉴 건너뛰기




Volumn 5, Issue 2, 2003, Pages 167-189

Verification theorems for optimal feedback strategies in differential games

Author keywords

Differential game; Dynamic programming; Nonsmooth Analysis, monotonicity; Relatively optimal feedback strategy; Value function; Verification theorem

Indexed keywords


EID: 0142118634     PISSN: 02191989     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219198903000878     Document Type: Article
Times cited : (8)

References (18)
  • 4
    • 0002957381 scopus 로고
    • Characterization of the value of differential games
    • Berkovitz, L. D. (1988). "Characterization of the value of differential games," Appl. Math. Opt., Vol. 17, 177-183.
    • (1988) Appl. Math. Opt. , vol.17 , pp. 177-183
    • Berkovitz, L.D.1
  • 6
    • 0142108908 scopus 로고    scopus 로고
    • Universal feedback control via proximal aiming in problems of control under disturbances and differential games
    • Russian; translation of Rapport CRM-2386, Univ. Montréal, 1994
    • Clarke, F., Yu. Ledyaev and A. I. Subbotin (1999). "Universal feedback control via proximal aiming in problems of control under disturbances and differential games," Trudy Mat. Inst. Steklova, Vol. 224, 165-180 (Russian; translation of Rapport CRM-2386, Univ. Montréal, 1994).
    • (1999) Trudy Mat. Inst. Steklova , vol.224 , pp. 165-180
    • Clarke, F.1    Ledyaev, Yu.2    Subbotin, A.I.3
  • 10
    • 0142108907 scopus 로고
    • Tangent and contingent directions to trajectories of differential inclusions
    • Lupulescu, V. and Şt. (1992a). "Tangent and contingent directions to trajectories of differential inclusions," Revue Roum. Math. Pures Appl., Vol. 37, 421-444.
    • (1992) Revue Roum. Math. Pures Appl. , vol.37 , pp. 421-444
    • Lupulescu, V.1
  • 11
    • 0012225235 scopus 로고
    • Verification theorems of Dynamics Programming type in optimal control
    • V. Barbu et al. eds., Boston, Birkhäuser
    • Miricǎ, Şt. (1992b). "Verification theorems of Dynamics Programming type in optimal control," in V. Barbu et al. (eds). Optimization, Optimal Control and Partial Differential Equations, Boston, Birkhäuser, 181-192.
    • (1992) Optimization, Optimal Control and Partial Differential Equations , pp. 181-192
    • Miricǎ, Şt.1
  • 12
    • 0142077345 scopus 로고
    • Monotonicity of real functions without regularity assumptions
    • Miricǎ, Şt. (1995a). "Monotonicity of real functions without regularity assumptions," Anal. Univ. Bucureşti, Mat., Vol. 44, 49-60.
    • (1995) Anal. Univ. Bucureşti, Mat. , vol.44 , pp. 49-60
    • Miricǎ, Şt.1
  • 13
    • 0142013604 scopus 로고
    • Invariance and monotonicity for autonomous differential inclusions
    • Miricǎ, Şt. (1995b). "Invariance and monotonicity for autonomous differential inclusions," Studii Cerc. Mat., Vol. 44, 179-204.
    • (1995) Studii Cerc. Mat. , vol.44 , pp. 179-204
    • Miricǎ, Şt.1
  • 14
    • 0142013602 scopus 로고    scopus 로고
    • Optimal feedack control in closed form via Dynamic Programming
    • Miricǎ, Şt. (1997). "Optimal feedack control in closed form via Dynamic Programming," Revue Raum. Math. Pures Appl., Vol. 42, 621-648.
    • (1997) Revue Raum. Math. Pures Appl. , vol.42 , pp. 621-648
    • Miricǎ, Şt.1
  • 15
    • 0142045451 scopus 로고    scopus 로고
    • A constructive Dynamic Programming approach to differential games
    • Miricǎ, Şt. (2001). "A constructive Dynamic Programming approach to differential games," Anal. Univ. Bucureşti, Mat., Vol. 50.
    • (2001) Anal. Univ. Bucureşti, Mat. , vol.50
    • Miricǎ, Şt.1
  • 16
    • 0142013603 scopus 로고    scopus 로고
    • Level sets of the value function in differential games with the homicidal chauffeur dynamics
    • Patsko, V. S. and V. L. Turova (2001). "Level sets of the value function in differential games with the homicidal chauffeur dynamics," International Games Theory Review, Vol. 3, 67-112.
    • (2001) International Games Theory Review , vol.3 , pp. 67-112
    • Patsko, V.S.1    Turova, V.L.2
  • 17
    • 0021422727 scopus 로고
    • Generalization of the main equation of differential games
    • Subbotin, A. I. (1984). "Generalization of the main equation of differential games," J. Opt. Theory Appl., Vol. 43, 103-134.
    • (1984) J. Opt. Theory Appl. , vol.43 , pp. 103-134
    • Subbotin, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.