메뉴 건너뛰기




Volumn 34, Issue 1, 1996, Pages 51-78

Necessary conditions for functional differential inclusions

Author keywords

Generalized gradients; Hamiltonian inclusion; Hereditary control problem; Necessary conditions

Indexed keywords

FUNCTIONS; INTEGRATION; MAXIMUM PRINCIPLE;

EID: 0030182214     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01182473     Document Type: Article
Times cited : (27)

References (19)
  • 1
    • 0042614489 scopus 로고
    • On the necessary conditions for optimal control of retarded systems
    • T. S. Angell and A. Kirsch, On the necessary conditions for optimal control of retarded systems, Appl. Math. Optim. 22 (1990), 117-145.
    • (1990) Appl. Math. Optim. , vol.22 , pp. 117-145
    • Angell, T.S.1    Kirsch, A.2
  • 2
    • 0018518408 scopus 로고
    • Shadow prices and duality for a class of optimal control problems
    • J. P. Aubin and F. H. Clarke, Shadow prices and duality for a class of optimal control problems, SIAM J. Control Optim. 17 (1979), 567-587.
    • (1979) SIAM J. Control Optim. , vol.17 , pp. 567-587
    • Aubin, J.P.1    Clarke, F.H.2
  • 3
    • 0014469681 scopus 로고
    • Variational problems involving functional differential equations
    • H. T. Banks, Variational problems involving functional differential equations, SIAM J. Control 7 (1969) 1-17.
    • (1969) SIAM J. Control , vol.7 , pp. 1-17
    • Banks, H.T.1
  • 4
    • 0016114904 scopus 로고
    • Application of abstract variational theory to hereditary systems - A survey
    • H. T. Banks and A. Manitius, Application of abstract variational theory to hereditary systems - a survey, IEEE Trans. Automat. Control 19 (1974) 524-533.
    • (1974) IEEE Trans. Automat. Control , vol.19 , pp. 524-533
    • Banks, H.T.1    Manitius, A.2
  • 5
    • 0019058599 scopus 로고
    • Optimal control of delay systems with a final functional condition
    • Z. Bien and D. H. Chyung, Optimal control of delay systems with a final functional condition, Internat. J. Control 32 (1980), 539-560.
    • (1980) Internat. J. Control , vol.32 , pp. 539-560
    • Bien, Z.1    Chyung, D.H.2
  • 7
    • 0000151286 scopus 로고
    • Proximal analysis and boundaries of closed sets in Banach spaces, part I: Theory
    • J. B. Borwein and H. M. Strojwas, Proximal analysis and boundaries of closed sets in Banach spaces, part I: theory, Canad. J. Math. 38 (1986), 431-452.
    • (1986) Canad. J. Math. , vol.38 , pp. 431-452
    • Borwein, J.B.1    Strojwas, H.M.2
  • 8
    • 0006507939 scopus 로고
    • Optimal control and the true Hamiltonian
    • F. H. Clarke, Optimal control and the true Hamiltonian, SIAM Rev. 21 (1979), 157-166.
    • (1979) SIAM Rev. , vol.21 , pp. 157-166
    • Clarke, F.H.1
  • 9
    • 0003334371 scopus 로고
    • Optimization and Nonsmooth Analysis
    • Society for Industrial and Applied Mathematics, Philadelphia, PA original edition by Wiley
    • F. H. Clarke, Optimization and Nonsmooth Analysis. Classics in Applied Mathematics, Vol. 5. Society for Industrial and Applied Mathematics, Philadelphia, PA (original edition by Wiley, 1983), 1990.
    • (1983) Classics in Applied Mathematics , vol.5
    • Clarke, F.H.1
  • 10
    • 0003225812 scopus 로고
    • Methods of Dynamic and Nonsmooth Optimization
    • Society for Industrial and Applied Mathematics, Philadelphia, PA
    • F. H. Clarke, Methods of Dynamic and Nonsmooth Optimization. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 57. Society for Industrial and Applied Mathematics, Philadelphia, PA, 1989.
    • (1989) CBMS-NSF Regional Conference Series in Applied Mathematics , vol.57
    • Clarke, F.H.1
  • 11
    • 0001563557 scopus 로고
    • Necessary conditions, controllability and the value function for differential-difference inclusions
    • F. H. Clarke and G. G. Watkins, Necessary conditions, controllability and the value function for differential-difference inclusions, Nonlinear Anal. TMA 10 (1986), 1155-1179.
    • (1986) Nonlinear Anal. TMA , vol.10 , pp. 1155-1179
    • Clarke, F.H.1    Watkins, G.G.2
  • 12
    • 0020186031 scopus 로고
    • The maximum principle for relaxed hereditary differential systems with function space end condition
    • F. Colonius, The maximum principle for relaxed hereditary differential systems with function space end condition, SIAM J. Control Optim. 20 (1982), 695-712.
    • (1982) SIAM J. Control Optim. , vol.20 , pp. 695-712
    • Colonius, F.1
  • 13
    • 0003347777 scopus 로고
    • Optimal Periodic Control
    • Springer-Verlag, Berlin
    • F. Colonius, Optimal Periodic Control. Lecture Notes in Mathematics, Vol. 1313. Springer-Verlag, Berlin, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1313
    • Colonius, F.1
  • 15
    • 0019565735 scopus 로고
    • On function target control of dynamical systems with delays in state and control under bounded state constraints
    • B. K. Kim and Z. Bien, On function target control of dynamical systems with delays in state and control under bounded state constraints, Internat. J. Control 33 (1981), 891-902.
    • (1981) Internat. J. Control , vol.33 , pp. 891-902
    • Kim, B.K.1    Bien, Z.2
  • 16
    • 38249037500 scopus 로고
    • The proximal normal formula in Hilbert space
    • P. D. Loewen, The proximal normal formula in Hilbert space, Nonlinear Anal. TMA 11 (1987), 979-995.
    • (1987) Nonlinear Anal. TMA , vol.11 , pp. 979-995
    • Loewen, P.D.1
  • 17
    • 0005446811 scopus 로고
    • Princeton University Press, Princeton, NJ
    • L. W. Neustadt, Optimization. Princeton University Press, Princeton, NJ, 1976.
    • (1976) Optimization
    • Neustadt, L.W.1
  • 19
    • 0018006591 scopus 로고
    • Controllability of nondifferentiable hereditary processes
    • J. Warga, Controllability of nondifferentiable hereditary processes, SIAM J. Control Optim. 16 (1978), 813-831.
    • (1978) SIAM J. Control Optim. , vol.16 , pp. 813-831
    • Warga, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.