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Volumn 16, Issue 1 SPEC. ISS., 2007, Pages 13-36

Differential inclusions operator valued measures and optimal control

Author keywords

Banach spaces; Differential inclusions; Existence of solutions; Operator valued measures; Optimal control; Relaxed control

Indexed keywords


EID: 34248570683     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (32)
  • 1
    • 0022769455 scopus 로고
    • Existence of Optimal Controls for a Class of Systems Governed by Differential Inclusions on a Banach Space
    • N. U.Ahmed, Existence of Optimal Controls for a Class of Systems Governed by Differential Inclusions on a Banach Space, J. of Optimization Theory and applications 50(2), (1986), 213-237.
    • (1986) J. of Optimization Theory and applications , vol.50 , Issue.2 , pp. 213-237
    • Ahmed, N.U.1
  • 2
    • 15244363148 scopus 로고
    • Existence of Solutions of Nonlinear Stochastic Differential Inclusions on Banach Space
    • Tampa, Florida, Aug. 19-26, Walter de Gruyter, Berlin New York
    • N. U.Ahmed, Existence of Solutions of Nonlinear Stochastic Differential Inclusions on Banach Space, Proc. of 1st world Congress of Nonlinear Analysis,Tampa, Florida, Aug. 19-26, (1992), Walter de Gruyter, Berlin New York (1996), 1699-1712.
    • (1992) Proc. of 1st world Congress of Nonlinear Analysis , pp. 1699-1712
    • Ahmed, N.U.1
  • 3
    • 33646462691 scopus 로고    scopus 로고
    • Differential Inclusions on Banach Spaces and Optimal Control
    • N. U.Ahmed and X. Xiang, Differential Inclusions on Banach Spaces and Optimal Control, Nonlinear Functional Analysis and Applications, 8(3) (2003), 461-488.
    • (2003) Nonlinear Functional Analysis and Applications , vol.8 , Issue.3 , pp. 461-488
    • Ahmed, N.U.1    Xiang, X.2
  • 4
    • 28044465009 scopus 로고    scopus 로고
    • Impulsive Perturbation of Co-semigroups by Operator Valued Measures
    • N. U.Ahmed, Impulsive Perturbation of Co-semigroups by Operator Valued Measures, Non-linear Functional Analysis and Applications, 9(1) (2004), 127-147.
    • (2004) Non-linear Functional Analysis and Applications , vol.9 , Issue.1 , pp. 127-147
    • Ahmed, N.U.1
  • 5
    • 34248570631 scopus 로고    scopus 로고
    • Optimal Relaxed Controls for Systems Governed by Impulsive Differential Inclusions
    • N. U.Ahmed, Optimal Relaxed Controls for Systems Governed by Impulsive Differential Inclusions, Nonlinear Functional Analysis and Applications, 10(3) (2005), 427-460.
    • (2005) Nonlinear Functional Analysis and Applications , vol.10 , Issue.3 , pp. 427-460
    • Ahmed, N.U.1
  • 6
    • 1942509677 scopus 로고    scopus 로고
    • N. U.Ahmed, Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces, SLAM J. Contrl. and Optim. 42(2), (2003), 669-685.
    • N. U.Ahmed, Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces, SLAM J. Contrl. and Optim. 42(2), (2003), 669-685.
  • 8
    • 0003258876 scopus 로고
    • Semigroup Theory with Applications to Systems and Control
    • Longman Scientific and Technical, U.K. and John Wiley, New York
    • N. U.Ahmed, Semigroup Theory with Applications to Systems and Control, Pitman Research Notes in Mathematics Series 246 (1991), Longman Scientific and Technical, U.K. and John Wiley , New York.
    • (1991) Pitman Research Notes in Mathematics Series , vol.246
    • Ahmed, N.U.1
  • 9
    • 0036833035 scopus 로고    scopus 로고
    • Necessary Conditions of Optimality for Impulsive Systems on Banach Spaces
    • N. U.Ahmed, Necessary Conditions of Optimality for Impulsive Systems on Banach Spaces. Nonlinear Analysis, 51, 2002, 409-424.
    • (2002) Nonlinear Analysis , vol.51 , pp. 409-424
    • Ahmed, N.U.1
  • 11
    • 1542266891 scopus 로고    scopus 로고
    • 0 Semigroups and Evolution Equations
    • 0 Semigroups and Evolution Equations, Nonlinear Funct. Anal. & Appl., Vol 7, (4), (2002), 555-580.
    • (2002) Nonlinear Funct. Anal. & Appl , vol.7 , Issue.4 , pp. 555-580
    • Ahmed, N.U.1
  • 12
    • 0030243609 scopus 로고    scopus 로고
    • N. U. Ahrned, Optimal Relaxed Controls for Infinite Dimensional Stochastic Systems of Zakai Type. SIAM Journal Cotrl. & Optim. 34(5) (1996), 1592-1615.
    • N. U. Ahrned, Optimal Relaxed Controls for Infinite Dimensional Stochastic Systems of Zakai Type. SIAM Journal Cotrl. & Optim. 34(5) (1996), 1592-1615.
  • 13
    • 0007193367 scopus 로고
    • An Existence Theorem for Differential Inclusions on Banach Spaces
    • N. U. Ahmed, An Existence Theorem for Differential Inclusions on Banach Spaces, Journal of Applied Mathematics and Stochastic Analysis 5, (2) (1992), 123-130.
    • (1992) Journal of Applied Mathematics and Stochastic Analysis , vol.5 , Issue.2 , pp. 123-130
    • Ahmed, N.U.1
  • 15
    • 0027656162 scopus 로고
    • Properties of Relaxed Trajectories of Evolution Equations and Optimal Control
    • X. Xiang and N. U. Ahmed, Properties of Relaxed Trajectories of Evolution Equations and Optimal Control, SIAM J. Control and Optimization, 31, 5 (1993), 1135-1142.
    • (1993) SIAM J. Control and Optimization , vol.31 , Issue.5 , pp. 1135-1142
    • Xiang, X.1    Ahmed, N.U.2
  • 16
    • 0042727052 scopus 로고    scopus 로고
    • Necessary Conditions of Optimality for Differential Inclusions on Banach Spaces
    • X. Xiang and N. U. Ahmed, Necessary Conditions of Optimality for Differential Inclusions on Banach Spaces, Nonlinear Analysis: T.M.A, 30, 8 (1997), 5437-5445.
    • (1997) Nonlinear Analysis: T.M.A , vol.30 , Issue.8 , pp. 5437-5445
    • Xiang, X.1    Ahmed, N.U.2
  • 20
  • 22
    • 84972559090 scopus 로고
    • Optimal Control and Relaxation for a Class of Nonlinear Distributed Parameter Systems
    • E. P. Avgerinos and N. S. Papageorgiou. Optimal Control and Relaxation for a Class of Nonlinear Distributed Parameter Systems, Osaka J. Math. 27 (1990), 745-767.
    • (1990) Osaka J. Math , vol.27 , pp. 745-767
    • Avgerinos, E.P.1    Papageorgiou, N.S.2
  • 23
    • 34248532482 scopus 로고    scopus 로고
    • J. Diestel and J. J. Uhl, Jr. Vector Measures, Mathematical Surveys, no 15, American Mathematical Society, Providence, Rhode Island, (1977).
    • J. Diestel and J. J. Uhl, Jr. Vector Measures, Mathematical Surveys, no 15, American Mathematical Society, Providence, Rhode Island, (1977).
  • 26
    • 34248594888 scopus 로고    scopus 로고
    • Impulsive Stochastic Evolution Inclusions with Multi-Valued Diffusions, in Abstract and Applied Analysis
    • Ed. N.M.Chuong, L.Nirenberg, W. Tutschke, Hanoi, Vietnam, Publisher: World Scientific
    • N. U. Ahmed, Impulsive Stochastic Evolution Inclusions with Multi-Valued Diffusions, in Abstract and Applied Analysis, (Ed. N.M.Chuong, L.Nirenberg, W. Tutschke) Proc. of the International Conference, Hanoi, Vietnam, 2002, Publisher: World Scientific, 413-425.
    • (2002) Proc. of the International Conference , pp. 413-425
    • Ahmed, N.U.1
  • 28
    • 34248583726 scopus 로고    scopus 로고
    • J. Motyl, Existence of Solutions of Set-valued Ito Equation, Bulletin of the Polish academy of Sciences Mathematics, 40(3), (198), 419-430.
    • J. Motyl, Existence of Solutions of Set-valued Ito Equation, Bulletin of the Polish academy of Sciences Mathematics, 40(3), (198), 419-430.
  • 29
    • 21144449034 scopus 로고    scopus 로고
    • Set Valued Approach to Stochastic Control (I): Existence and Regularity Properties
    • M. Kisielewicz, M. Michta and J. Motyl, Set Valued Approach to Stochastic Control (I): Existence and Regularity Properties, Dynamic Systems and Applications 12(2003), 405-432.
    • (2003) Dynamic Systems and Applications , vol.12 , pp. 405-432
    • Kisielewicz, M.1    Michta, M.2    Motyl, J.3
  • 30
    • 21144449034 scopus 로고    scopus 로고
    • Set Valued Approach to Stochastic Control (II): Viability and Semimartingale Issues
    • M. Kisielewicz, M. Michta and J. Motyl, Set Valued Approach to Stochastic Control (II): Viability and Semimartingale Issues, Dynamic Systems and Applications 12(2003), 433-466.
    • (2003) Dynamic Systems and Applications , vol.12 , pp. 433-466
    • Kisielewicz, M.1    Michta, M.2    Motyl, J.3
  • 31
    • 0037670186 scopus 로고    scopus 로고
    • Nonlinear Impulsive Systems on Infinite Dimensional Spaces
    • N. U. Ahmed, K. L. Teo and S. H. Hou, Nonlinear Impulsive Systems on Infinite Dimensional Spaces, Nonlinear Analysis, 54(2003), 907-925.
    • (2003) Nonlinear Analysis , vol.54 , pp. 907-925
    • Ahmed, N.U.1    Teo, K.L.2    Hou, S.H.3
  • 32
    • 34248523261 scopus 로고    scopus 로고
    • Dynamics of Hybrid Systems Induced by Operator Valued Measures, Special Issue of Nonlinear Analysis
    • Lafayette, Louisiana, May 19-26
    • N. U. Ahmed, Dynamics of Hybrid Systems Induced by Operator Valued Measures, Special Issue of Nonlinear Analysis, for the Proceedings of the International Conference on Hybrid Systems, Lafayette, Louisiana, May 19-26 (2006).
    • (2006) for the Proceedings of the International Conference on Hybrid Systems
    • Ahmed, N.U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.