메뉴 건너뛰기




Volumn 27, Issue 8, 1996, Pages 895-931

Dynamic properties of optimal solutions of variational problems

Author keywords

Good function; Infinite horizon; Turnpike property; Weakly optimal function

Indexed keywords

CONTROL THEORY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OPTIMAL SYSTEMS; PROBLEM SOLVING; SET THEORY; VARIATIONAL TECHNIQUES;

EID: 0030269319     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00029-U     Document Type: Article
Times cited : (40)

References (24)
  • 2
    • 0022150485 scopus 로고
    • Tracking periodic signals with overtaking criterion
    • ARTSTEIN Z. & LEIZAROWITZ A., Tracking periodic signals with overtaking criterion, IEEE Trans. autom. Control AC 30, 1122-1126 (1985).
    • (1985) IEEE Trans. Autom. Control AC , vol.30 , pp. 1122-1126
    • Artstein, Z.1    Leizarowitz, A.2
  • 3
    • 0043072168 scopus 로고
    • Saddle points of Hamiltonian systems in convex problem of lagrange
    • ROCKAFELLAR R.T., Saddle points of Hamiltonian systems in convex problem of Lagrange, J. Optim. Theor. Applic. 12, 367-389 (1973).
    • (1973) J. Optim. Theor. Applic. , vol.12 , pp. 367-389
    • Rockafellar, R.T.1
  • 4
    • 0025403301 scopus 로고
    • The existence of catching-up optimal solutions for a class of infinite horizon optimal control problems with time delay
    • CARLSON D.A., The existence of catching-up optimal solutions for a class of infinite horizon optimal control problems with time delay, SIAM J. Control Optim. 28, 402-422 (1990).
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 402-422
    • Carlson, D.A.1
  • 5
    • 48749143267 scopus 로고
    • The discrete Frenkel-Kontorova model and its extensions I. Exact results for the ground states
    • AUBRY S. & LE DAERON P.Y., The discrete Frenkel-Kontorova model and its extensions I. Exact results for the ground states, Physica 8D, 381-422 (1983).
    • (1983) Physica , vol.8 D , pp. 381-422
    • Aubry, S.1    Le Daeron, P.Y.2
  • 6
    • 84956130091 scopus 로고
    • Ground states in Frenkel-Kontorova model
    • ZASLAVSKI A.J., Ground states in Frenkel-Kontorova model, Math. USSR Izvestiya 29(2), 323-354 (1987).
    • (1987) Math. USSR Izvestiya , vol.29 , Issue.2 , pp. 323-354
    • Zaslavski, A.J.1
  • 7
    • 0000712576 scopus 로고
    • One dimensional infinite-horizon variational problems arising in continuum mechanics
    • LEIZAROWITZ A. & MIZEL V.J., One dimensional infinite-horizon variational problems arising in continuum mechanics, Arch. ration. Mech. Analysis 106, 161-194 (1989).
    • (1989) Arch. Ration. Mech. Analysis , vol.106 , pp. 161-194
    • Leizarowitz, A.1    Mizel, V.J.2
  • 9
    • 84959817843 scopus 로고
    • On optimal development in a multisector economy
    • GALE D., On optimal development in a multisector economy, Rev. Econ. Studies 34, 1-19 (1967).
    • (1967) Rev. Econ. Studies , vol.34 , pp. 1-19
    • Gale, D.1
  • 10
    • 0002224201 scopus 로고
    • Existence of optimal programs of accumulation for an infinite horizon
    • VON WEIZSACKER C.C., Existence of optimal programs of accumulation for an infinite horizon. Rev. Econ. Studies 32, 85-104 (1965).
    • (1965) Rev. Econ. Studies , vol.32 , pp. 85-104
    • Von Weizsacker, C.C.1
  • 11
    • 0017019748 scopus 로고
    • On existence of overtaking optimal trajectories over an infinite horizon
    • BROCK W.A. & HAURIE A., On existence of overtaking optimal trajectories over an infinite horizon, Math. Optim. Res. 1, 337-346 (1976).
    • (1976) Math. Optim. Res. , vol.1 , pp. 337-346
    • Brock, W.A.1    Haurie, A.2
  • 12
    • 0023453749 scopus 로고
    • Existence of overtaking optimal solutions to infinite dimensional control problems on unbounded time intervals
    • CARLSON D.A., HAURIE A. & JABRANE A., Existence of overtaking optimal solutions to infinite dimensional control problems on unbounded time intervals, SIAM J. Control Optim. 25, 1517-1541 (1987).
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1517-1541
    • Carlson, D.A.1    Haurie, A.2    Jabrane, A.3
  • 14
    • 0022882610 scopus 로고
    • Recent developments in the theory of Hamilton systems
    • MOSER J., Recent developments in the theory of Hamilton systems, SIAM Rev. 28(4), 459-485 (1986).
    • (1986) SIAM Rev. , vol.28 , Issue.4 , pp. 459-485
    • Moser, J.1
  • 15
    • 0000816905 scopus 로고
    • Minimal solutions of variational problems on a torus
    • MOSER J., Minimal solutions of variational problems on a torus, Ann. Inst. H. Pouncare Analyse non Lineaire 3, 229-272 (1986).
    • (1986) Ann. Inst. H. Pouncare Analyse Non Lineaire , vol.3 , pp. 229-272
    • Moser, J.1
  • 16
    • 0002791732 scopus 로고
    • Geodesic rays, Busemann functions and monotone twist maps
    • BANGERT V., Geodesic rays, Busemann functions and monotone twist maps, Calc. Var. 2, 49-63 (1994).
    • (1994) Calc. Var. , vol.2 , pp. 49-63
    • Bangert, V.1
  • 17
    • 0022111255 scopus 로고
    • Existence of overtaking optimal trajectories for problems with convex integrands
    • LEIZAROWITZ A., Existence of overtaking optimal trajectories for problems with convex integrands, Math. Oper. Res. 10, 450-461 (1985).
    • (1985) Math. Oper. Res. , vol.10 , pp. 450-461
    • Leizarowitz, A.1
  • 19
    • 0041569217 scopus 로고
    • Economic dynamics
    • VINITI Moscow
    • RUBINOV A.M., Economic dynamics, in Itogy Nauki. Sovremennye problemy mat. 19 VINITI Moscow, pp. 59-110 (1982). English trans. in J. Soviet Math. 26, 4 (1984).
    • (1982) Itogy Nauki. Sovremennye Problemy Mat. , vol.19 , pp. 59-110
    • Rubinov, A.M.1
  • 20
    • 0043072169 scopus 로고
    • English trans.
    • RUBINOV A.M., Economic dynamics, in Itogy Nauki. Sovremennye problemy mat. 19 VINITI Moscow, pp. 59-110 (1982). English trans. in J. Soviet Math. 26, 4 (1984).
    • (1984) J. Soviet Math. , vol.26 , pp. 4
  • 23
    • 0022046439 scopus 로고
    • Infinite horizon autonomous systems with unbounded cost
    • LEIZAROWITZ A., Infinite horizon autonomous systems with unbounded cost, Appl. Math. Optim. 13, 19-43 (1985).
    • (1985) Appl. Math. Optim. , vol.13 , pp. 19-43
    • Leizarowitz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.