Iterative schemes for optimal control of Volterra integral equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 37, Issue 1, 1999, Pages 57-79

  Belbas, S A ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; ITERATIVE METHODS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; VARIATIONAL TECHNIQUES;

VARIATIONAL EQUATIONS; VOLTERRA INTEGRAL EQUATIONS;

CONTROL THEORY;

EID: 0033165484     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00144-8     Document Type: Article

References (10)

1. T.A. Burton, Volterra Integral and Differential Equations, Academic Press, New York, 1983.
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3. J.K. Hale, Ordinary Differential Equations, Wiley-Interscience, New York, 1969.
4. N.G. Medhin, Optimal processes governed by integral equations, J. Math. Arial. Appl. 120 (1986) 1-12.
5. W.H. Schmidt, Notwendige Optimalitaetsbedingungen fuer Prozesse mit zeitvariablen Integralgleichungen in Banach-Raeumen, Z. Angew. Math. Mech. 60 (1980) 595-608.
6. W.H. Schmidt, Durch Integralgleichungen beschriebene optimale Prozesse mit Nebenbedingungen in Banachraeumen - notwendige Optimalitaetsbendingungen, Z. Angew. Math. Mech. 62 (1982) 66-75.
7. W.H. Schmidt, Volterra integral processes with state constraints, SAMS 9 (1992) 213-224.
8. V.R. Vinokurov, Optimal control of processes described by integral equations, parts I, II, and III, SIAM J. Control 7 (1969) 324-355;
9. comments by L.W. Neustadt, J. Warga, SIAM J. Control 8 (1970) 572.
10. L. Wolfersdorf, Optimale Steuerung bei Hammersteinschen Integralgleichungen mit schwach singulaeren Kernen, Math. Oper. Statist. 6 (1975) 609-626.