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Advances in Optimization and Control pp 274–282Cite as

Sufficient Conditions for Optimality and Supported Trajectories for Optimal Control Problems Governed by Volterra Integral Equations

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 302))

Abstract

In the work presented below we investigate sufficient conditions for optimality for optimal control problems whose dynamics are governed by a Volterra integral equation.

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References

  1. Angell, T. S., On the Optimal Control of Systems Governed by Nonlinear Integral Equations, J. Opt. Theory Appl., Vol. 19, pp. 63–79, 1976.

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  2. Angell, T. S., The Controllability Problem for Nonlinear Volterra Systems, J. Opt. Theory Appl., Vol. 41, pp. 9–35, 1983.

    Article  Google Scholar 

  3. Bakke, V. L., A Maximum. Principle for an Optimal Control Problem with Integral Constraints, J. Opt. Theory and Appl., Vol. 13, pp. 37–55, 1974.

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  4. Bakke, V. L., Boundary Arcs for Integral Equations, J. Opt. Theory Appl., Vol. 19, pp. 425–443, 1976.

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  5. Carlson, D. A., An Elementary Proof of the Maximum Principle for Optimal control Problems Governed by a Volterra Integral Equation, to appear in J. Opt. Theory Appl.

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  6. Feinstein, C. D. and Luenberger, D. L., Analysis of the Asymptotic Behavior of Optimal Control Trajectories: The Implicit Programming Problem, SIAM J. Control and Opt., Vol. 19, pp. 561–585, 1981.

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  7. Hartl, R. F. and Sethi, S. P., Optimal Control of a Class of Systems with Continuous Lags: Dynamic Programming Approach and Economic Interpretations, J. Opt. Theory Appl., Vol. 43, pp. 73–88, 1984.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Southern Illinois University, Carbondale, Illinois, 62901, USA

    Dean A. Carlson

Authors
  1. Dean A. Carlson
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Editor information

Editors and Affiliations

  1. University of New Brunswick, P.O. Box 4400, Fredericton, New Brunswick, Canada, E3B 5A3

    H. A. Eiselt

  2. Concordia University, 7141 Sherbrooke Street, West Montreal, Quebec, Canada, H4B 1R6

    G. Pederzoli

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© 1988 Springer-Verlag Berlin Heidelberg

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Carlson, D.A. (1988). Sufficient Conditions for Optimality and Supported Trajectories for Optimal Control Problems Governed by Volterra Integral Equations. In: Eiselt, H.A., Pederzoli, G. (eds) Advances in Optimization and Control. Lecture Notes in Economics and Mathematical Systems, vol 302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46629-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-46629-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18962-6

  • Online ISBN: 978-3-642-46629-8

  • eBook Packages: Springer Book Archive

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