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Volumn 97, Issue 3, 1998, Pages 707-729

Optimal control of nonlinear Fredholm integral equations

Author keywords

Existence; Nonconcentration; Nonlinear integral equations; Optimal control in Lp spaces; Optimality conditions; Pontryagin maximum principle; Relaxation; Stability

Indexed keywords

FREDHOLM INTEGRAL EQUATIONS; NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS;

EID: 0039491583     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022650427993     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 85033885762 scopus 로고    scopus 로고
    • Optimal control and relaxation of systems governed by Volterra integral equations
    • Edited by V. Lakshmikantham, Walter de Gruyter, Berlin, Germany
    • AIZICOVICI, S., and PAPAGEORGIOU, N. S., Optimal Control and Relaxation of Systems Governed by Volterra Integral Equations, World Congress of Nonlinear Analysts, Edited by V. Lakshmikantham, Walter de Gruyter, Berlin, Germany, pp. 2617-2625, 1996.
    • (1996) World Congress of Nonlinear Analysts , pp. 2617-2625
    • Aizicovici, S.1    Papageorgiou, N.S.2
  • 5
    • 0016951246 scopus 로고
    • On the optimal control of systems governed by nonlinear Volterra equations
    • ANGELL, T. S., On the Optimal Control of Systems Governed by Nonlinear Volterra Equations, Journal of Optimization Theory and Applications, Vol. 19, pp. 29-45, 1976.
    • (1976) Journal of Optimization Theory and Applications , vol.19 , pp. 29-45
    • Angell, T.S.1
  • 6
    • 0015982646 scopus 로고
    • A maximum principle for an optimal control problem with integral constraints
    • BAKKE, V. L., A Maximum Principle for an Optimal Control Problem with Integral Constraints, Journal of Optimization Theory and Applications, Vol. 13, pp. 32-55, 1974.
    • (1974) Journal of Optimization Theory and Applications , vol.13 , pp. 32-55
    • Bakke, V.L.1
  • 7
    • 0023382077 scopus 로고
    • An elementary proof of the maximum principle of optimal control problems governed by a Volterra integral equation
    • CARLSON, D. A., An Elementary Proof of the Maximum Principle of Optimal Control Problems Governed by a Volterra Integral Equation, Journal of Optimiza-tion Theory and Applications, Vol. 54, pp. 43-61, 1987.
    • (1987) Journal of Optimiza-tion Theory and Applications , vol.54 , pp. 43-61
    • Carlson, D.A.1
  • 10
    • 84984080834 scopus 로고
    • Durch integralgleichungen beschriebene optimale prozesse mit nebenbedingungen in Banachräumen - Notwendige optimalitätsbedingungen
    • SCHMIDT, W. H., Durch Integralgleichungen beschriebene optimale Prozesse mit Nebenbedingungen in Banachräumen - notwendige Optimalitätsbedingungen, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 62, pp. 65-75, 1982.
    • (1982) Zeitschrift für Angewandte Mathematik und Mechanik , vol.62 , pp. 65-75
    • Schmidt, W.H.1
  • 11
    • 0000151384 scopus 로고
    • Volterra integral processes with state constraints
    • SCHMIDT, W. H., Volterra Integral Processes with State Constraints, System Analysis Modelling and Simulation, Vol. 9, pp. 213-224, 1992.
    • (1992) System Analysis Modelling and Simulation , vol.9 , pp. 213-224
    • Schmidt, W.H.1
  • 12
    • 0014508023 scopus 로고
    • Optimal control of processes described by integral equations, parts 1-3
    • VINOKUROV, V. R., Optimal Control of Processes Described by Integral Equations, Parts 1-3, SIAM Journal on Control, Vol. 7, pp. 324-355, 1969.
    • (1969) SIAM Journal on Control , vol.7 , pp. 324-355
    • Vinokurov, V.R.1
  • 13
    • 84984013821 scopus 로고
    • Notwendige optimalitätsbedingungen für prozesse mit zeitvariablen integralgleichungen in Banach-Räumen
    • SCHMIDT, W. H., Notwendige Optimalitätsbedingungen für Prozesse mit Zeitvariablen Integralgleichungen in Banach-Räumen, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 60, pp. 595-608, 1980.
    • (1980) Zeitschrift für Angewandte Mathematik und Mechanik , vol.60 , pp. 595-608
    • Schmidt, W.H.1
  • 14
    • 0002187294 scopus 로고
    • Maximum principles for processes governed by integral equations in Banach spaces as sufficient optimality conditions
    • SCHMIDT, W. H., Maximum Principles for Processes Governed by Integral Equations in Banach Spaces as Sufficient Optimality Conditions, Beiträge zur Analysis, Vol. 17, pp. 85-93, 1981.
    • (1981) Beiträge zur Analysis , vol.17 , pp. 85-93
    • Schmidt, W.H.1
  • 15
    • 84981477807 scopus 로고
    • Optimal control of a class of processes described by general integral equations of Hammerstein type
    • VON WOLFERSDORF, L., Optimal Control of a Class of Processes Described by General Integral Equations of Hammerstein Type, Mathematische Nachrichten, Vol. 71, pp. 115-141, 1976.
    • (1976) Mathematische Nachrichten , vol.71 , pp. 115-141
    • Von Wolfersdorf, L.1
  • 16
    • 84984064644 scopus 로고
    • Optimal control of processes governed by abstract functional, integral, and hyperbolic differential equations
    • BITTNER, L., Optimal Control of Processes Governed by Abstract Functional, Integral, and Hyperbolic Differential Equations, Mathematische Operationsforschung und Statistik, Vol. 6, pp. 107-134, 1975.
    • (1975) Mathematische Operationsforschung und Statistik , vol.6 , pp. 107-134
    • Bittner, L.1
  • 20
    • 0027623859 scopus 로고
    • Boundary control of semilinear elliptic equations with pointwise state contraits
    • CASAS, E., Boundary Control of Semilinear Elliptic Equations with Pointwise State Contraits, SIAM Journal on Control and Optimization. Vol. 31, pp. 993-1006, 1993.
    • (1993) SIAM Journal on Control and Optimization , vol.31 , pp. 993-1006
    • Casas, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.