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Volumn 4, Issue , 2002, Pages 4605-4610

Viability kernels and capture basins of sets under differential inclusions

Author keywords

Backward invariance; Capture basin; Control system; Differential inclusion; Hamilton Jacobi equations; Local viability; Viability kernel

Indexed keywords

ALGORITHMS; FEEDBACK; GRAPH THEORY; INVARIANCE; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY;

EID: 0036991349     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (1)

References (21)
  • 2
    • 0004243911 scopus 로고
    • Birkhäuser, Boston, Basel, Berlin
    • J.-P. Aubin, Viability Theory, Birkhäuser, Boston, Basel, Berlin, 1991.
    • (1991) Viability Theory
    • Aubin, J.-P.1
  • 6
    • 0346356199 scopus 로고    scopus 로고
    • Boundary-value problems for systems of first-order partial differential inclusions
    • J.-P. Aubin, Boundary-value problems for systems of first-order partial differential inclusions, NoDEA Nonlinear Differential Equations Appl., 7 (2000), pp. 61-84.
    • (2000) NoDEA Nonlinear Differential Equations Appl. , vol.7 , pp. 61-84
    • Aubin, J.-P.1
  • 7
    • 0037249143 scopus 로고    scopus 로고
    • Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints
    • submitted
    • J.-P. Aubin, Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints, SIAM J. Control Optim., submitted.
    • SIAM J. Control Optim.
    • Aubin, J.-P.1
  • 10
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians
    • E. N. Barron and R. Jenson, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians, Comm. Partial Differential Equations, 15 (1990), pp. 1713-1742.
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jenson, R.2
  • 11
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton Jacobi equations
    • M. G. Crandall and P.-L. Lions, Viscosity solutions of Hamilton Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), pp. 1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.-L.2
  • 12
    • 0001538422 scopus 로고
    • L'équation d'Hamilton-Jacobi contingente
    • H. Frankowska, L'équation d'Hamilton-Jacobi contingente, C. R. Acad. Paris Sér. I Math., 304 (1987), pp. 295-298.
    • (1987) C. R. Acad. Paris Sér. I Math. , vol.304 , pp. 295-298
    • Frankowska, H.1
  • 14
    • 0001391958 scopus 로고
    • Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations
    • H. Frankowska, Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations, Appl. Math. Optim., 19 (1989), pp. 291-311.
    • (1989) Appl. Math. Optim. , vol.19 , pp. 291-311
    • Frankowska, H.1
  • 15
    • 38249022754 scopus 로고
    • Hamilton-Jacobi equation: Viscosity solutions and generalized gradients
    • H. Frankowska, Hamilton-Jacobi equation: Viscosity solutions and generalized gradients, J. Math. Anal. Appl., 141 (1989), pp. 21-26.
    • (1989) J. Math. Anal. Appl. , vol.141 , pp. 21-26
    • Frankowska, H.1
  • 17
    • 85066086057 scopus 로고
    • Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equation
    • H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equation, SIAM J. Control Optim., 31 (1993), pp. 257-272.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 257-272
    • Frankowska, H.1
  • 18
    • 0021937944 scopus 로고
    • Derivatives for multivalued mappings with applications to game-theoretical problems of control
    • H. G Guseinov, A. I. Subbotin, and V. N. Ushakov, Derivatives for multivalued mappings with applications to game-theoretical problems of control, Problems of Control and Information Theory, 14 (1985), pp. 155-168.
    • (1985) Problems of Control and Information Theory , vol.14 , pp. 155-168
    • Guseinov, H.G.1    Subbotin, A.I.2    Ushakov, V.N.3
  • 21
    • 34249771510 scopus 로고
    • Approximation of the viability kernel
    • P. Saint-Pierre, Approximation of the viability kernel, Appl. Math. Optim., 29 (1994), pp. 187-209.
    • (1994) Appl. Math. Optim. , vol.29 , pp. 187-209
    • Saint-Pierre, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.