Skip to main content
Log in

Geometric and analytic views in existence theorems for optimal control in Banach spaces. Part 1. Distributed parameters

  • Contributed Papers
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

Existence theorems for optimal control problems in Banach spaces are stated and proved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cesari, L.,Existence Theorems for Problems of Optimization with Distributed and Boundary Controls, Proceedings of the International Congress of Mathematicians, Nice, France, Vol. 3, pp. 157–161, 1970.

    Google Scholar 

  2. Cesari, L.,Closure Theorems for Orientor Fields and Weak Convergence, Archive for Rational Mechanics and Analysis, Vol. 55, 1974.

  3. Cesari, L.,Existence Theorems for Weak and Usual Solutions in Lagrange Problems with Unilateral Constraints, I, II, Transactions of the American Mathematical Society, Vol. 124, pp. 369–412 and 413–429, 1966.

    Google Scholar 

  4. Cesari, L.,Closure Theorems for Orientor Fields, Bulletin of the American Mathematical Society, Vol. 79, pp. 684–689, 1973.

    Google Scholar 

  5. Cesari, L., andCowles, D. E.,Existence Theorems for Optimization Problems with Distributed and Boundary Controls, Archive for Rational Mechanics and Analysis, Vol. 46, pp. 321–355, 1972.

    Google Scholar 

  6. Cesari, L., andKaiser, P. J.,Closed Operators and Existence Theorems in Multidimensional Problems of Calculus of Variations, Bulletin of the American Mathematical Society, Vol. 80, pp. 473–478, 1974.

    Google Scholar 

  7. Kaiser, P. J.,Seminormality Properties of Convex Sets, Circolo Matematico di Palermo (to appear).

  8. Kaiser, P. J., andSuryanarayana, M. B.,Orientor Field Equations in Banach Spaces, Journal of Optimization Theory and Applications (to appear).

  9. Cesari, L.,Lower Semicontinuity and Lower Closure Theorems without Seminormality Conditions. Annali di Matematica Pura e Applicata, Vol. 98, pp. 381–397, 1974.

    Google Scholar 

  10. Cesari, L.,A Necessary and Sufficient Condition for Lower Semicontinuity, Bulletin of the American Mathematical Society, Vol. 80, pp. 467–472, 1974.

    Google Scholar 

  11. Cesari, L., andSuryanarayana, M. B.,Closure Theorems Without Seminormality Conditions, Journal of Optimization Theory and Applications (to appear).

  12. Cesari, L., andSuryanarayana, M. B.,Convexity and Property (Q) in Optimal Control Theory, SIAM Journal on Control, Vol. 12, No. 4, 1974.

  13. Berkovitz, L. D.,Existence and Lower Closure Theorems for Abstract Control Problems, SIAM Journal on Control, Vol. 12, pp. 27–42, 1974.

    Google Scholar 

  14. Cesari, L.,An Existence Theorem Without Convexity Conditions, SIAM Journal on Control, Vol. 12, No. 3, 1974.

  15. Suryanarayana, M. B.,Linear Control Problems with Total Differential Equations, Transactions of the American Mathematical Society (to appear).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor M. R. Hestenes

This research was partially supported by AFOSR Research Project 71-2122.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cesari, L. Geometric and analytic views in existence theorems for optimal control in Banach spaces. Part 1. Distributed parameters. J Optim Theory Appl 14, 505–520 (1974). https://doi.org/10.1007/BF00932845

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00932845

Key Words

Navigation