메뉴 건너뛰기




Volumn 39, Issue 1, 1999, Pages 17-32

Equivalence between nonlinear H∞ control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations

Author keywords

Differential games; Isaacs equations; Nonlinear H control; Nonlinear systems; Viscosity solutions

Indexed keywords

EQUIVALENCE CLASSES; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0032785103     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900096     Document Type: Article
Times cited : (16)

References (13)
  • 3
    • 0003211244 scopus 로고
    • Convex Analysis and Measurable Multifunctions
    • Springer-Verlag, Berlin
    • C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics, Vol. 580, Springer-Verlag, Berlin (1977).
    • (1977) Lecture Notes in Mathematics , vol.580
    • Castaing, C.1    Valadier, M.2
  • 4
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M.G. Crandall, H. Ishii, P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 5
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M.G. Crandall, P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 7
    • 0027684440 scopus 로고
    • A partial differential inequality for dissipative systems
    • M.R. James, A partial differential inequality for dissipative systems, Systems Control Lett. 21 (1993), 315-320.
    • (1993) Systems Control Lett. , vol.21 , pp. 315-320
    • James, M.R.1
  • 9
    • 0030151815 scopus 로고    scopus 로고
    • ∞ control of nonlinear systems: Differential games and viscosity solutions
    • ∞ control of nonlinear systems: differential games and viscosity solutions, SIAM J. Control Optim. 34(5) (1996).
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.5
    • Soravia, P.1
  • 11
    • 24044481971 scopus 로고    scopus 로고
    • Constructive theory of positional differential games and generalized solutions to Hamilton-Jacobi equations
    • Birkhäuser, Boston, to appear
    • A.I. Subbotin, Constructive theory of positional differential games and generalized solutions to Hamilton-Jacobi equations, in Annals of Dynamic Games, Vol. 3, Birkhäuser, Boston, to appear.
    • Annals of Dynamic Games , vol.3
    • Subbotin, A.I.1
  • 13
    • 0002865738 scopus 로고
    • ∞ control theory
    • (H.L. Trentelman, J.C. Willems, eds.), Birkhäuser, Boston
    • ∞ control theory, in Perspective in Control (H.L. Trentelman, J.C. Willems, eds.), Birkhäuser, Boston (1993).
    • (1993) Perspective in Control
    • Van Der Shaft, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.