메뉴 건너뛰기




Volumn 12, Issue 4, 2004, Pages 383-416

Nonlinear impulse target problems under state constraint: A numerical analysis based on viability theory

Author keywords

Differential inclusions; Impulsive systems; Optimal control; Value function; Viability theory

Indexed keywords


EID: 14944344511     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-004-6412-x     Document Type: Article
Times cited : (17)

References (23)
  • 1
    • 18044399780 scopus 로고    scopus 로고
    • Problèmes de cible sous contraintes d'état pour des systèmes non linéaires avec sauts d'état
    • Crück, E.: Problèmes de cible sous contraintes d'état pour des systèmes non linéaires avec sauts d'état, C. R. Acad. Sci. Paris Sér. I 333(5) (2001), 403-408.
    • (2001) C. R. Acad. Sci. Paris Sér. I , vol.333 , Issue.5 , pp. 403-408
    • Crück, E.1
  • 2
    • 0037098592 scopus 로고    scopus 로고
    • Target problems under state constraints for nonlinear controlled impulsive systems
    • Crück, E.: Target problems under state constraints for nonlinear controlled impulsive systems, J. Math. Anal. Appl. 270(2) (2002), 636-656.
    • (2002) J. Math. Anal. Appl. , vol.270 , Issue.2 , pp. 636-656
    • Crück, E.1
  • 4
    • 84958153588 scopus 로고    scopus 로고
    • Hybrid kernels and capture basins for impulse constrained systems
    • C. J. Tomlin and M. R. Greenstreet (eds), Hybrid Systems: Computation and Control, Springer, New York
    • Saint-Pierre, P.: Hybrid kernels and capture basins for impulse constrained systems, In: C. J. Tomlin and M. R. Greenstreet (eds), Hybrid Systems: Computation and Control, Lecture Notes in Comput. Sci. 2289, Springer, New York, 2002, pp. 378-392.
    • (2002) Lecture Notes in Comput. Sci. 2289 , pp. 378-392
    • Saint-Pierre, P.1
  • 5
    • 0022061640 scopus 로고
    • Deterministic impulse control
    • Barles, G.: Deterministic impulse control, SIAM J. Control Optim., 23(3) (1985), 419-432.
    • (1985) SIAM J. Control Optim. , vol.23 , Issue.3 , pp. 419-432
    • Barles, G.1
  • 8
    • 0032391267 scopus 로고    scopus 로고
    • On a class of optimal control problems with state jumps
    • Liu, Y., Teo, K. L., Jennings, L. S. and Wang, S.: On a class of optimal control problems with state jumps, J. Optim. Theory Appl. 98(1) (1998), 65-82.
    • (1998) J. Optim. Theory Appl. , vol.98 , Issue.1 , pp. 65-82
    • Liu, Y.1    Teo, K.L.2    Jennings, L.S.3    Wang, S.4
  • 9
    • 34250147880 scopus 로고
    • On a discrete approximation of the Hamilton-Jacobi equation of dynamics programming
    • Cappuzzo-Dolcetta, I.: On a discrete approximation of the Hamilton-Jacobi equation of dynamics programming, Appl. Math. Optim. 10 (1983), 367-377.
    • (1983) Appl. Math. Optim. , vol.10 , pp. 367-377
    • Cappuzzo-Dolcetta, I.1
  • 11
    • 0003672832 scopus 로고
    • PhD thesis, Massachusetts Institute of Technology
    • Branicky, M. S.: Studies in hybrid systems, PhD thesis, Massachusetts Institute of Technology, 1995.
    • (1995) Studies in Hybrid Systems
    • Branicky, M.S.1
  • 15
    • 0031192156 scopus 로고    scopus 로고
    • Optimal times for constrained nonlinear control problems without local controllability
    • Cardaliaguet, P., Quincampoix, M. and Saint-Pierre, P.: Optimal times for constrained nonlinear control problems without local controllability, Appl. Math. Optim. 36 (1997), 21-42.
    • (1997) Appl. Math. Optim. , vol.36 , pp. 21-42
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 16
    • 0000652050 scopus 로고    scopus 로고
    • Numerical methods for differential games
    • M. Bardi, T. E. S. Raghavan and T. Parthasarathy (eds), Ann. Internat. Soc. Dynamic Games, Birkhäuser, Basel
    • Cardaliaguet, P., Quincampoix, M. and Saint-Pierre, P.: Numerical methods for differential games, In: M. Bardi, T. E. S. Raghavan and T. Parthasarathy (eds), Stochastic and Differential Games: Theory and Numerical Methods, Ann. Internat. Soc. Dynamic Games, Birkhäuser, Basel, 1999, pp. 177-247.
    • (1999) Stochastic and Differential Games: Theory and Numerical Methods , pp. 177-247
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 17
    • 0002258647 scopus 로고    scopus 로고
    • Viability with a target: Theory and applications
    • B. I. Cheshankov and M. D. Todorov (eds), Heron Press, Sofia
    • Quincampoix, M. and Veliov, V.: Viability with a target: Theory and applications, In: B. I. Cheshankov and M. D. Todorov (eds), Applications of Mathematics in Engineering, Heron Press, Sofia, 1998, pp. 47-54.
    • (1998) Applications of Mathematics in Engineering , pp. 47-54
    • Quincampoix, M.1    Veliov, V.2
  • 18
    • 34249771510 scopus 로고
    • Approximation of the viability kernel
    • Saint-Pierre, P.: 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
  • 19
    • 0034558073 scopus 로고    scopus 로고
    • Numerical schemes for discontinuous value functions of optimal control
    • Cardaliaguet, P., Quincampoix, M. and Saint-Pierre, P.: Numerical schemes for discontinuous value functions of optimal control, Set-Valued Anal. 8(1) (2000), 111-126.
    • (2000) Set-Valued Anal. , vol.8 , Issue.1 , pp. 111-126
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 20
    • 0031700516 scopus 로고    scopus 로고
    • An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamic systems
    • Quincampoix, M. and Saint-Pierre, P.: An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamic systems, J. Math. Systems Estim. Control 8(1) (1998), 17-29.
    • (1998) J. Math. Systems Estim. Control , vol.8 , Issue.1 , pp. 17-29
    • Quincampoix, M.1    Saint-Pierre, P.2
  • 21
    • 0037098591 scopus 로고    scopus 로고
    • On open-loop and feedback attainability of a closed set for nonlinear control systems
    • Nistri, P. and Quincampoix, M.: On open-loop and feedback attainability of a closed set for nonlinear control systems, J. Math. Anal. Appl. 270 (2002), 474-487.
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 474-487
    • Nistri, P.1    Quincampoix, M.2
  • 22
    • 0030196316 scopus 로고    scopus 로고
    • A differential game with two players and one target
    • Cardaliaguet, P.: A differential game with two players and one target, SIAM J. Control Optim. 34(4) (1996), 1441-1460.
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.4 , pp. 1441-1460
    • Cardaliaguet, P.1
  • 23
    • 84972814157 scopus 로고
    • Strong convergence results related to strict convexity
    • Visitin, A.: Strong convergence results related to strict convexity, Comm. Partial Differential Equations 9 (1984), 439-466.
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 439-466
    • Visitin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.