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Volumn 1, Issue 4, 1999, Pages 221-229

On numerical algorithm and interactive visualization for optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANIMATION; OPTIMAL CONTROL SYSTEMS;

EID: 0043013024     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910050020     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0025462851 scopus 로고
    • An approximation scheme for the minimum time function
    • Bardi, M., Falcone, M.: An approximation scheme for the minimum time function. SIAM J. Control Optim. 28, 950-965 (1990)
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 950-965
    • Bardi, M.1    Falcone, M.2
  • 2
    • 0012866721 scopus 로고
    • Fully discrete schemes for the value function of pursuit-evasion games
    • Basar, T., Haurie, A., (eds.)
    • Bardi, M., Falcone, M., Soravia, P.: Fully discrete schemes for the value function of pursuit-evasion games. In Basar, T., Haurie, A., (eds.), Advances in Dynamic Games and Applications, pp. 89-105, 1994
    • (1994) Advances in Dynamic Games and Applications , pp. 89-105
    • Bardi, M.1    Falcone, M.2    Soravia, P.3
  • 3
    • 84935385503 scopus 로고
    • Discrete dynamic programming and viscosity solutions of the Bellman equation
    • Capuzzo Dolcetta, I., Falcone, M.: Discrete dynamic programming and viscosity solutions of the Bellman equation. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 6 (supplement), 161-184 (1989)
    • (1989) Ann. Inst. Henri Poincaré, Anal. Non Linéaire , vol.6 , Issue.SUPPL. , pp. 161-184
    • Capuzzo Dolcetta, I.1    Falcone, M.2
  • 4
    • 34250115257 scopus 로고
    • Approximate solutions of the Bellman equation of deterministic control theory
    • Capuzzo Dolcetta, I., Ishii, H.: Approximate solutions of the Bellman equation of deterministic control theory. Appl. Math. Optim. 11, 161-181, (1984)
    • (1984) Appl. Math. Optim. , vol.11 , pp. 161-181
    • Capuzzo Dolcetta, I.1    Ishii, H.2
  • 6
    • 21344488058 scopus 로고
    • Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations
    • Falcone, M., Ferretti, R.: Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations. Numer. Math. 67, 315-344 (1994)
    • (1994) Numer. Math. , vol.67 , pp. 315-344
    • Falcone, M.1    Ferretti, R.2
  • 7
    • 0040647337 scopus 로고
    • Un algorithme pour la résolution rapide d'équations discrètes de Hamilton-Jacobi-Bellman
    • Gonzáles L.V.R., Sagastizábal, A.C.: Un algorithme pour la résolution rapide d'équations discrètes de Hamilton-Jacobi-Bellman. C. R. Acad. Sci., Paris, Sér. I. 311, 45-50 (1990)
    • (1990) C. R. Acad. Sci., Paris, Sér. i , vol.311 , pp. 45-50
    • Gonzáles, L.V.R.1    Sagastizábal, A.C.2
  • 9
    • 0030290328 scopus 로고    scopus 로고
    • Numerical stabilization of bilinear control systems
    • Grüne, L.: Numerical stabilization of bilinear control systems. SIAM J. Control Optim. 34(6), 2024-2050 (1996)
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.6 , pp. 2024-2050
    • Grüne, L.1
  • 10
    • 0040453725 scopus 로고    scopus 로고
    • An adaptive grid scheme for the discrete Hamilton-Jacobi- Bellman equation
    • Grüne, L.: An adaptive grid scheme for the discrete Hamilton-Jacobi- Bellman equation. Numer. Math. 75(3), 319-337 (1997)
    • (1997) Numer. Math. , vol.75 , Issue.3 , pp. 319-337
    • Grüne, L.1
  • 11
    • 0032165130 scopus 로고    scopus 로고
    • Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points
    • Grüne, L.: Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points. SIAM J. Control Optim. 36(5), 1585-1603 (1998)
    • (1998) SIAM J. Control Optim. , vol.36 , Issue.5 , pp. 1585-1603
    • Grüne, L.1
  • 12
    • 0001893646 scopus 로고    scopus 로고
    • On the relation of discounted and average optimal value functions
    • Grüne, L.: On the relation of discounted and average optimal value functions. J. Differ. Equ. 148(1), 65-99 (1998)
    • (1998) J. Differ. Equ. , vol.148 , Issue.1 , pp. 65-99
    • Grüne, L.1
  • 15
    • 0031331273 scopus 로고    scopus 로고
    • Hierarchical and adaptive visualization on nested grids
    • Ohlberger, M., Rumpf, M.: Hierarchical and Adaptive Visualization on Nested Grids. Computing. 59, 365-385 (1997)
    • (1997) Computing. , vol.59 , pp. 365-385
    • Ohlberger, M.1    Rumpf, M.2
  • 17
    • 0030172512 scopus 로고    scopus 로고
    • Functions defining meshes, a flexible interface between numerical data and visualization routines
    • Rumpf, M., Schmidt, A., Siebert, K.: Functions defining meshes, a flexible interface between numerical data and visualization routines. Computer Graphics Forum. 15, 129-141 (1996)
    • (1996) Computer Graphics Forum. , vol.15 , pp. 129-141
    • Rumpf, M.1    Schmidt, A.2    Siebert, K.3
  • 20
    • 0030530686 scopus 로고    scopus 로고
    • An a posteriori error estimator for anisotropic refinement
    • Siebert K.G.: An a posteriori error estimator for anisotropic refinement. Numer. Math. 73(3), 373-398 (1996)
    • (1996) Numer. Math. , vol.73 , Issue.3 , pp. 373-398
    • Siebert, K.G.1
  • 21
    • 21144461048 scopus 로고
    • Maximal Lyapunov exponents and rotation numbers for two coupled oscillators driven by real noise
    • Sri Namachchivaya, N., Van Roessel, H.J.: Maximal Lyapunov exponents and rotation numbers for two coupled oscillators driven by real noise. J. Stat. Phys. 71(3/4), 549-567 (1993)
    • (1993) J. Stat. Phys. , vol.71 , Issue.3-4 , pp. 549-567
    • Sri Namachchivaya, N.1    Van Roessel, H.J.2
  • 23
    • 0016050013 scopus 로고
    • On the dynamic behaviour of continuous stired tank reactors
    • Uppal, A., Ray, W.H., Poore, A.B.: On the dynamic behaviour of continuous stired tank reactors. Chem. Eng. Science. 29, 967-985 (1974)
    • (1974) Chem. Eng. Science. , vol.29 , pp. 967-985
    • Uppal, A.1    Ray, W.H.2    Poore, A.B.3
  • 24
    • 0027627862 scopus 로고
    • Adaptive methods on unstructured grids for Euler and Navier-Stokes equations
    • Vilsmeier, R., Haenel, D.: Adaptive methods on unstructured grids for Euler and Navier-Stokes equations. Comput. Fluids. 4-5, 485-499 (1993)
    • (1993) Comput. Fluids. , vol.4-5 , pp. 485-499
    • Vilsmeier, R.1    Haenel, D.2
  • 25
    • 2142749129 scopus 로고
    • GRAPE, Eine interaktive Umgebung für Visualisierung und Numerik
    • Wierse, M., Rumpf., M.: GRAPE, Eine interaktive Umgebung für Visualisierung und Numerik. Informatik, Forschung und Entwicklung. 7, 145-151 (1992)
    • (1992) Informatik, Forschung und Entwicklung , vol.7 , pp. 145-151
    • Wierse, M.1    Rumpf, M.2
  • 26
    • 0000890993 scopus 로고
    • Convergence of the value functions of discounted infinite horizon optimal control problems with low discount rates
    • Wirth, F.: Convergence of the value functions of discounted infinite horizon optimal control problems with low discount rates. Math. Oper. Res. 18, 1006-1019 (1993)
    • (1993) Math. Oper. Res. , vol.18 , pp. 1006-1019
    • Wirth, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.