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Volumn 414, Issue 2, 2014, Pages 914-933

Linear estimates for trajectories of state-constrained differential inclusions and normality conditions in optimal control

Author keywords

Differential inclusions with state constraints; Necessary conditions for optimality; Nonsmooth analysis; Optimal control

Indexed keywords


EID: 84894383552     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2014.01.009     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0031140636 scopus 로고    scopus 로고
    • Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints
    • Arutyunov A.V., Aseev S.M. Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints. SIAM J. Control Optim. 1997, 35:930-952.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 930-952
    • Arutyunov, A.V.1    Aseev, S.M.2
  • 5
    • 36048968848 scopus 로고    scopus 로고
    • Normality of the maximum principle for non convex constrained Bolza problems
    • Bettiol P., Frankowska H. Normality of the maximum principle for non convex constrained Bolza problems. J. Differential Equations 2007, 243(2):256-269.
    • (2007) J. Differential Equations , vol.243 , Issue.2 , pp. 256-269
    • Bettiol, P.1    Frankowska, H.2
  • 7
    • 84894365091 scopus 로고    scopus 로고
    • Improved sensitivity relations in state constrained optimal control, submitted for publication.
    • P. Bettiol, H. Frankowska, R.B. Vinter, Improved sensitivity relations in state constrained optimal control, submitted for publication.
    • Bettiol, P.1    Frankowska, H.2    Vinter, R.B.3
  • 8
    • 84988308511 scopus 로고    scopus 로고
    • Sensitivity interpretations of the co-state variable for optimal control problems with state constraints
    • Bettiol P., Vinter R. Sensitivity interpretations of the co-state variable for optimal control problems with state constraints. SIAM J. Control Optim. 2010, 48:3297-3317.
    • (2010) SIAM J. Control Optim. , vol.48 , pp. 3297-3317
    • Bettiol, P.1    Vinter, R.2
  • 9
    • 79955913905 scopus 로고    scopus 로고
    • Trajectories satisfying a smooth state constraint: Improved estimates
    • Bettiol P., Vinter R.B. Trajectories satisfying a smooth state constraint: Improved estimates. IEEE Trans. Automat. Control 2011, 56(5):1090-1096.
    • (2011) IEEE Trans. Automat. Control , vol.56 , Issue.5 , pp. 1090-1096
    • Bettiol, P.1    Vinter, R.B.2
  • 10
    • 0011482677 scopus 로고
    • On the qualitative theory of lower semicontinuous differential inclusions
    • Bressan A. On the qualitative theory of lower semicontinuous differential inclusions. J. Differential Equations 1989, 77:379-391.
    • (1989) J. Differential Equations , vol.77 , pp. 379-391
    • Bressan, A.1
  • 11
    • 78650989140 scopus 로고    scopus 로고
    • Trajectories of differential inclusions with state constraints
    • Bressan A., Facchi G. Trajectories of differential inclusions with state constraints. J. Differential Equations 2011, 250:2267-2281.
    • (2011) J. Differential Equations , vol.250 , pp. 2267-2281
    • Bressan, A.1    Facchi, G.2
  • 12
    • 0000706858 scopus 로고
    • Classical solutions of differential equations with multi-valued right-hand side
    • Filippov A.F. Classical solutions of differential equations with multi-valued right-hand side. SIAM J. Control Optim. 1967, 5:609-621.
    • (1967) SIAM J. Control Optim. , vol.5 , pp. 609-621
    • Filippov, A.F.1
  • 13
    • 0001385681 scopus 로고    scopus 로고
    • On non-convex differential inclusions whose state is constrained in the closure of an open set
    • Forcellini F., Rampazzo F. On non-convex differential inclusions whose state is constrained in the closure of an open set. Differential Integral Equations 1999, 12:471-497.
    • (1999) Differential Integral Equations , vol.12 , pp. 471-497
    • Forcellini, F.1    Rampazzo, F.2
  • 14
    • 84876858417 scopus 로고    scopus 로고
    • On relations of the adjoint state to the value function for optimal control problems with state constraints
    • Frankowska H., Mazzola M. On relations of the adjoint state to the value function for optimal control problems with state constraints. Nonlinear Differential Equations Appl. 2013, 20:361-383.
    • (2013) Nonlinear Differential Equations Appl. , vol.20 , pp. 361-383
    • Frankowska, H.1    Mazzola, M.2
  • 15
    • 84873747212 scopus 로고    scopus 로고
    • Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
    • Frankowska H., Mazzola M. Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Calc. Var. Partial Differential Equations 2013, 46:725-747.
    • (2013) Calc. Var. Partial Differential Equations , vol.46 , pp. 725-747
    • Frankowska, H.1    Mazzola, M.2
  • 16
    • 0034148320 scopus 로고    scopus 로고
    • Filippov's and Filippov-Wazewski's theorems on closed domains
    • Frankowska H., Rampazzo F. Filippov's and Filippov-Wazewski's theorems on closed domains. J. Differential Equations 2000, 161:449-478.
    • (2000) J. Differential Equations , vol.161 , pp. 449-478
    • Frankowska, H.1    Rampazzo, F.2
  • 17
    • 0034349449 scopus 로고    scopus 로고
    • Existence of neighboring feasible trajectories: applications to dynamic programming for state constrained optimal control problems
    • Frankowska H., Vinter R.B. Existence of neighboring feasible trajectories: applications to dynamic programming for state constrained optimal control problems. J. Optim. Theory Appl. 2000, 104:21-40.
    • (2000) J. Optim. Theory Appl. , vol.104 , pp. 21-40
    • Frankowska, H.1    Vinter, R.B.2
  • 18
    • 0001577681 scopus 로고
    • The range of a vector measure
    • Halmos P.R. The range of a vector measure. Bull. Amer. Math. Soc. 1948, 54:416-421.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 416-421
    • Halmos, P.R.1
  • 19
    • 0033284727 scopus 로고    scopus 로고
    • A theorem on existence of neighboring trajectories satisfying a state constraint, with applications to optimal control
    • Rampazzo F., Vinter R.B. A theorem on existence of neighboring trajectories satisfying a state constraint, with applications to optimal control. IMA J. Math. Control Inform. 1999, 16:335-351.
    • (1999) IMA J. Math. Control Inform. , vol.16 , pp. 335-351
    • Rampazzo, F.1    Vinter, R.B.2
  • 20
    • 0034433933 scopus 로고    scopus 로고
    • Degenerate optimal control problems with state constraints
    • Rampazzo F., Vinter R.B. Degenerate optimal control problems with state constraints. SIAM J. Control Optim. 2000, 39:989-1007.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 989-1007
    • Rampazzo, F.1    Vinter, R.B.2
  • 21
    • 0022715502 scopus 로고
    • Optimal control problems with state-space constraints, I
    • Soner H.M. Optimal control problems with state-space constraints, I. SIAM J. Control Optim. 1986, 24:552-562.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-562
    • Soner, H.M.1
  • 22
    • 0022806544 scopus 로고
    • Optimal control problems with state-space constraints, II
    • Soner H.M. Optimal control problems with state-space constraints, II. SIAM J. Control Optim. 1986, 24:1110-1122.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 1110-1122
    • Soner, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.