메뉴 건너뛰기




Volumn 48, Issue 7, 2010, Pages 4664-4679

On trajectories satisfying a state constraint: W1,1 estimates and counterexamples

Author keywords

Differential inclusions; Optimal control; Sensitivity; State constraints

Indexed keywords

CONSTRAINED OPTIMAL CONTROL THEORY; CONSTRAINT VIOLATION; CONSTRUCTIVE TECHNIQUE; DIFFERENTIAL INCLUSIONS; FUNCTIONALS; INEQUALITY CONSTRAINT; OPTIMAL CONTROL; OTHER APPLICATIONS; PROPERTIES OF SOLUTIONS; SENSITIVITY; STATE CONSTRAINTS; VALUE FUNCTIONS;

EID: 77958598087     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/090769788     Document Type: Article
Times cited : (35)

References (13)
  • 2
    • 33750910341 scopus 로고    scopus 로고
    • Zero-sum state constrained differential games: Victory domains and existence of value for the Bolza problem
    • P. Bettiol, P. Cardaliaguet, and M. Quincampoix, Zero-sum state constrained differential games: Victory domains and existence of value for the Bolza problem, Internat. J. Game Theory, 34 (2006), pp. 495-527.
    • (2006) Internat. J. Game Theory , vol.34 , pp. 495-527
    • Bettiol, P.1    Cardaliaguet, P.2    Quincampoix, M.3
  • 4
    • 33847317392 scopus 로고    scopus 로고
    • Regularity of solution maps of differential inclusions for systems under state constraints
    • P. Bettiol and H. Frankowska, Regularity of solution maps of differential inclusions for systems under state constraints, Set-Valued Anal., 15 (2007), pp. 21-45.
    • (2007) Set-Valued Anal. , vol.15 , pp. 21-45
    • Bettiol, P.1    Frankowska, H.2
  • 5
    • 84988308511 scopus 로고    scopus 로고
    • Sensitivity interpretations of the costate variable for optimal control problems with state constraints
    • P. Bettiol and R. B. Vinter, Sensitivity interpretations of the costate variable for optimal control problems with state constraints, SIAM J. Control Optim., 48 (2010), pp. 3297-3317.
    • SIAM J. Control Optim. , vol.48 , Issue.2010 , pp. 3297-3317
    • Bettiol, P.1    Vinter, R.B.2
  • 7
    • 0001385681 scopus 로고    scopus 로고
    • On non-convex differential inclusions whose state is constrained in the closure of an open set
    • F. Forcellini and F. Rampazzo, On non-convex differential inclusions whose state is constrained in the closure of an open set, Differential Integral Equations, 12 (1999), pp. 471-497.
    • (1999) Differential Integral Equations , vol.12 , pp. 471-497
    • Forcellini, F.1    Rampazzo, F.2
  • 8
    • 0034148320 scopus 로고    scopus 로고
    • Filippov's and Filippov-Wazewski's theorems on closed domains
    • H. Frankowska and F. Rampazzo, Filippov's and Filippov-Wazewski's theorems on closed domains, J. Differential Equations, 161 (2000), pp. 449-478.
    • (2000) J. Differential Equations , vol.161 , pp. 449-478
    • Frankowska, H.1    Rampazzo, F.2
  • 9
    • 0034349449 scopus 로고    scopus 로고
    • Existence of neighbouring feasible trajectories: Applications to dynamic programming for state constrained optimal control problems
    • H. Frankowska and R. B. Vinter, Existence of neighbouring feasible trajectories: Applications to dynamic programming for state constrained optimal control problems, J. Optim. Theory Appl., 104 (2000), pp. 21-40.
    • (2000) J. Optim. Theory Appl. , vol.104 , pp. 21-40
    • Frankowska, H.1    Vinter, R.B.2
  • 10
    • 0033284727 scopus 로고    scopus 로고
    • A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control
    • F. Rampazzo and R. B. Vinter, A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control, IMA J. Math. Control Inform., 16 (1999), pp. 335-351.
    • (1999) IMA J. Math. Control Inform. , vol.16 , pp. 335-351
    • Rampazzo, F.1    Vinter, R.B.2
  • 11
    • 0034433933 scopus 로고    scopus 로고
    • Degenerate optimal control problems with state constraints
    • F. Rampazzo and R. Vinter, Degenerate optimal control problems with state constraints, SIAM J. Control Optim., 39 (2000), pp. 989-1007.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 989-1007
    • Rampazzo, F.1    Vinter, R.2
  • 12
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint I, II
    • 1110-1122
    • H. M. Soner, Optimal control with state-space constraint I, II, SIAM J. Control Optim., 24 (1986), pp. 552-561, 1110-1122.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-561
    • Soner, H.M.1
  • 13
    • 0004284115 scopus 로고    scopus 로고
    • Birkhaüser Boston, Boston, MA
    • R. B. Vinter, Optimal Control, Birkhaüser Boston, Boston, MA, 2000.
    • (2000) Optimal Control
    • Vinter, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.