메뉴 건너뛰기




Volumn 200, Issue 1, 2004, Pages 18-52

Invariance of stochastic control systems with deterministic arguments

Author keywords

State constraints; Stochastic control systems; Stochastic invariance; Stratonovitch drift

Indexed keywords


EID: 2342649571     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.01.007     Document Type: Article
Times cited : (40)

References (23)
  • 1
    • 0004243911 scopus 로고
    • Birkhäuser, Boston, Basel, Berlin
    • J.-P. Aubin, Viability Theory, Birkhäuser, Boston, Basel, Berlin, 1991.
    • (1991) Viability Theory
    • Aubin, J.-P.1
  • 4
    • 15444362058 scopus 로고    scopus 로고
    • The viability theorem for stochastic differential inclusions
    • J.-P. Aubin, G. Da Prato, The viability theorem for stochastic differential inclusions, Stochastic Anal. Appl. 16 (1998) 1-15.
    • (1998) Stochastic Anal. Appl. , vol.16 , pp. 1-15
    • Aubin, J.-P.1    Da Prato, G.2
  • 5
    • 0034562449 scopus 로고    scopus 로고
    • Stochastic invariance for differential inclusions
    • J.-P. Aubin, G. Da Prato, H. Frankowska, Stochastic invariance for differential inclusions, Set-Valued Anal. 8 (2000) 181-201.
    • (2000) Set-Valued Anal. , vol.8 , pp. 181-201
    • Aubin, J.-P.1    Da Prato, G.2    Frankowska, H.3
  • 6
    • 0141765725 scopus 로고    scopus 로고
    • Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature
    • J.-P. Aubin, H. Doss, Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature, Stochastic Anal. Appl. 21 (2003) 955-981.
    • (2003) Stochastic Anal. Appl. , vol.21 , pp. 955-981
    • Aubin, J.-P.1    Doss, H.2
  • 8
    • 0005041780 scopus 로고    scopus 로고
    • Invariant sets for controlled degenerate diffusions: A viscosity solutions approach
    • W.M.M. Mc Eneaney, G.G. Yin, Q. Zhang (Eds.), Birkhäuser, Basel
    • M. Bardi, P. Goatin, Invariant sets for controlled degenerate diffusions: a viscosity solutions approach, in: W.M.M. Mc Eneaney, G.G. Yin, Q. Zhang (Eds.), Lecture Notes in Mathematics, Vol. 1660, Birkhäuser, Basel, 1999, pp. 191-208.
    • (1999) Lecture Notes in Mathematics , vol.1660 , pp. 191-208
    • Bardi, M.1    Goatin, P.2
  • 9
    • 0141457231 scopus 로고    scopus 로고
    • A geometric characterization of viable sets for controlled degenerate diffusions
    • M. Bardi, R. Jensen, A geometric characterization of viable sets for controlled degenerate diffusions, Set-Valued Anal. 10 (2002), 129-141.
    • (2002) Set-Valued Anal. , vol.10 , pp. 129-141
    • Bardi, M.1    Jensen, R.2
  • 12
    • 0141856392 scopus 로고    scopus 로고
    • Stochastic viability for compact sets in terms of the distance function
    • G. Da Prato, H. Frankowska, Stochastic viability for compact sets in terms of the distance function, Dynamic Systems Appl. 10 (2001) 177-184.
    • (2001) Dynamic Systems Appl. , vol.10 , pp. 177-184
    • Da Prato, G.1    Frankowska, H.2
  • 13
    • 0002124082 scopus 로고
    • Liens entre équations différentielles stochastiques et ordinaires
    • H. Doss, Liens entre équations différentielles stochastiques et ordinaires, Ann. Inst. H. Poincaré, Calcul Probab. Statist. 23 (1977) 99-125.
    • (1977) Ann. Inst. H. Poincaré, Calcul Probab. Statist. , vol.23 , pp. 99-125
    • Doss, H.1
  • 15
    • 80053283918 scopus 로고
    • Viability for constrained stochastic differential equations
    • S. Gautier, L. Thibault, Viability for constrained stochastic differential equations, Differential Integral Equations 6 (1993) 1395-1414.
    • (1993) Differential Integral Equations , vol.6 , pp. 1395-1414
    • Gautier, S.1    Thibault, L.2
  • 17
    • 0042743692 scopus 로고    scopus 로고
    • A note on invariance for semilinear differential equations
    • W. Jakimiak, A note on invariance for semilinear differential equations, Bull. Polish Sci. (1996) 179-183.
    • (1996) Bull. Polish Sci. , pp. 179-183
    • Jakimiak, W.1
  • 20
    • 0003192245 scopus 로고
    • A note on the stochastic invariance for Itô equations
    • A. Milian, A note on the stochastic invariance for Itô equations, Bull. Polish Acad. Sci. 41 (1993) 139-150.
    • (1993) Bull. Polish Acad. Sci. , vol.41 , pp. 139-150
    • Milian, A.1
  • 21
    • 0031476783 scopus 로고    scopus 로고
    • Invariance for stochastic equations with regular coefficients
    • A. Milian, Invariance for stochastic equations with regular coefficients, Stochastic Anal. Appl. 15 (1997) 91-101.
    • (1997) Stochastic Anal. Appl. , vol.15 , pp. 91-101
    • Milian, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.