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Korean Mathematical Society (대한수학회)
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VECTOR MEASURES APPLIED TO OPTIMAL CONTROL FOR A CLASS OF EVOLUTION EQUATIONS ON BANACH SPACES

  • Ahmed, Nasir Uddin (Department of EECS and formerly Department of Mathematics University of Ottawa)
  • Received : 2020.02.20
  • Accepted : 2020.05.20
  • Published : 2020.10.31
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Abstract

In this paper we consider a class of nonlinear evolution equations on infinite dimensional Banach spaces driven by vector measures. We prove existence and uniqueness of solutions and continuous dependence of solutions on the control measures. Using these results we prove existence of optimal controls for Bolza problems. Based on this result we present necessary conditions of optimality.

Keywords

Acknowledgement

The author would like to thank the anonymous reviewers for excellent suggestions that led to significant improvement of the manuscript.

References

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