메뉴 건너뛰기




Volumn 201, Issue 2, 1996, Pages 555-576

The viability Kernel algorithm for computing value functions of infinite horizon optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030585925     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0273     Document Type: Article
Times cited : (30)

References (30)
  • 1
    • 0003086078 scopus 로고
    • Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions
    • L. Nachbin, Ed.
    • 1. J.-P. Aubin, Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions, in "Advances in Mathematics. Supplementary Studies" (L. Nachbin, Ed.), pp. 160-232, 1981.
    • (1981) Advances in Mathematics. Supplementary Studies , pp. 160-232
    • Aubin, J.-P.1
  • 2
    • 0011621786 scopus 로고
    • Smooth and heavy solutions to control problems
    • "Nonlinear and Convex Analysis" (B.-L. Lin and S. Simons, Eds.), Dekker, New York
    • 2. J.-P. Aubin, Smooth and heavy solutions to control problems, in "Nonlinear and Convex Analysis" (B.-L. Lin and S. Simons, Eds.), Proceedings in Honor of Ky Fan, Lecture Notes in Pure and Applied Mathematics, Dekker, New York, 1987.
    • (1987) Proceedings in Honor of Ky Fan, Lecture Notes in Pure and Applied Mathematics
    • Aubin, J.-P.1
  • 4
    • 0003344161 scopus 로고
    • Differential inclusions
    • Springer-Verlag, New York/Berlin
    • 4. J.-P. Aubin and A. Cellina, "Differential Inclusions," Gründlehren Math. Wiss., Vol. 264, Springer-Verlag, New York/Berlin, 1984.
    • (1984) Gründlehren Math. Wiss. , vol.264
    • Aubin, J.-P.1    Cellina, A.2
  • 6
    • 0001055639 scopus 로고
    • Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction
    • 6. J.-P. Aubin and H. Frankowska, Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction, C.R. Acad. Sci. Paris 311 (1990), 851-856.
    • (1990) C.R. Acad. Sci. Paris , vol.311 , pp. 851-856
    • Aubin, J.-P.1    Frankowska, H.2
  • 7
    • 0000199219 scopus 로고
    • Hyperbolic systems of partial differential inclusions
    • 7. J.-P. Aubin and H. Frankowska, Hyperbolic systems of partial differential inclusions, Ann. Scuola Norm. Pisa 18 (1992), 541-562.
    • (1992) Ann. Scuola Norm. Pisa , vol.18 , pp. 541-562
    • Aubin, J.-P.1    Frankowska, H.2
  • 8
    • 0002555679 scopus 로고    scopus 로고
    • Partial differential inclusions governing feedback controls
    • 8. J.-P. Aubin and H. Frankowska, Partial differential inclusions governing feedback controls, J. Convex Anal., 1996.
    • (1996) J. Convex Anal.
    • Aubin, J.-P.1    Frankowska, H.2
  • 9
    • 0000946055 scopus 로고
    • L'algorithme des montagnes russes pour l'optimisation globale
    • 9. J.-P. Aubin and L. Najman, L'algorithme des montagnes russes pour l'optimisation globale, C.R. Acad. Sci. Paris 319 (1994), 631-636.
    • (1994) C.R. Acad. Sci. Paris , vol.319 , pp. 631-636
    • Aubin, J.-P.1    Najman, L.2
  • 10
    • 85029966024 scopus 로고
    • Apprentissage adaptatif de lois de rétroaction de systèmes contrôlés par réseaux de neurones
    • 10. J.-P. Aubin and N. Seube, Apprentissage adaptatif de lois de rétroaction de systèmes contrôlés par réseaux de neurones, C.R. Acad. Sci. Paris 314 (1992), 957-963.
    • (1992) C.R. Acad. Sci. Paris , vol.314 , pp. 957-963
    • Aubin, J.-P.1    Seube, N.2
  • 13
    • 85029966056 scopus 로고    scopus 로고
    • Viable populations in a predator-prey system
    • in press
    • 13. N. Bonneuil and K. Müllers, Viable populations in a predator-prey system, J. Math. Biol., in press.
    • J. Math. Biol.
    • Bonneuil, N.1    Müllers, K.2
  • 14
    • 0011128126 scopus 로고
    • Some algorithms for differential games with two players and one target
    • 14. P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre, Some algorithms for differential games with two players and one target, MAM 28 (1994), 441-461.
    • (1994) MAM , vol.28 , pp. 441-461
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 15
    • 0001686246 scopus 로고
    • Temps optimaux pour des problèmes avec contraintes et sans contrôlabilité locale
    • 15. P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre, Temps optimaux pour des problèmes avec contraintes et sans contrôlabilité locale, C.R. Acad. Sci. Sér. 1 Paris 318 (1994), 607-612.
    • (1994) C.R. Acad. Sci. Sér. I Paris , vol.318 , pp. 607-612
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 21
    • 0010011203 scopus 로고    scopus 로고
    • A measurable-upper semicontinuous viability theorem for tubes
    • 21. H. Frankowska and S. Plaskacz, A measurable-upper semicontinuous viability theorem for tubes, J. Nonlinear Anal., 26 (1996), 565-582.
    • (1996) J. Nonlinear Anal. , vol.26 , pp. 565-582
    • Frankowska, H.1    Plaskacz, S.2
  • 23
    • 0001252011 scopus 로고
    • Viability kernels of differential inclusions with constraints: Algorithm and applications
    • 23. H. Frankowska and M. Quincampoix, Viability kernels of differential inclusions with constraints: Algorithm and applications, J. Math. Systems Estimation Control 1 (1991), 371-388.
    • (1991) J. Math. Systems Estimation Control , vol.1 , pp. 371-388
    • Frankowska, H.1    Quincampoix, M.2
  • 26
    • 85029968840 scopus 로고
    • Regulation of control systems with oscillatory control by viability constraints
    • 26. K. Müllers, Regulation of control systems with oscillatory control by viability constraints, Cahiers Math. Décision (1994).
    • (1994) Cahiers Math. Décision
    • Müllers, K.1
  • 27
    • 0026838989 scopus 로고
    • Differential inclusions and target problems
    • 27. M. Quincampoix, Differential inclusions and target problems, SIAM J. Control Optim. 30 (1992), 324-335.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 324-335
    • Quincampoix, M.1
  • 28
    • 85029963233 scopus 로고    scopus 로고
    • An algorithm for viability kernels in Hölderian case: Approximation by discrete viability kernels
    • in press
    • 28. M. Quincampoix and P. Saint-Pierre, An algorithm for viability kernels in Hölderian case: Approximation by discrete viability kernels, J. Math. Systems Estimation Control, in press.
    • J. Math. Systems Estimation Control
    • Quincampoix, M.1    Saint-Pierre, P.2
  • 29
    • 34249771510 scopus 로고
    • Approximation of the viability kernel
    • 29. P. Saint-Pierre, Approximation of the viability kernel, Appl. Math. Optim. 29 (1994), 187-209.
    • (1994) Appl. Math. Optim. , vol.29 , pp. 187-209
    • Saint-Pierre, P.1
  • 30
    • 0011551397 scopus 로고
    • Robust stabilization of uncertain systems
    • 30. N. Seube, Robust stabilization of uncertain systems, J. Math. Anal. Appl. 196 (1995), 452-466.
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 452-466
    • Seube, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.