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Time-optimal solution of a linear evolution equation in Banach spaces

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Abstract

The problem is that of finding trajectories of a linear evolution equation connecting two prescribed sets of states, initial and terminal, in the shortest possible time. Necessary conditions for the existence of solutions, i.e., time-optimum trajectories, are given in the form of a maximum principle.

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References

  1. Balakrishnan, A. V.,Optimal Control Problems in Banach Spaces, SIAM Journal on Control, Vol. 3, No. 1, 1965.

  2. Conti, R.,On Some Aspects of Linear Control Theory, Mathematical Theory of Control, Edited by A. V. Balakrishnan and L. W. Neustadt, Academic Press, New York, 1967.

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  3. Egorov, Y. V.,Sufficient Conditions for Optimal Control in Banach Spaces (in Russian), Matematicheskii Sbornik, Vol. 64, No. 1, 1964.

  4. Friedman, A.,Optimal Control in Banach Spaces, Journal of Mathematical Analysis and Applications, Vol. 19, No. 1, 1967.

  5. Gamkrelidze, R. V.,On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control, SIAM Journal on Control, Vol. 3, No. 1, 1965.

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Conti, R. Time-optimal solution of a linear evolution equation in Banach spaces. J Optim Theory Appl 2, 277–284 (1968). https://doi.org/10.1007/BF00928753

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  • DOI: https://doi.org/10.1007/BF00928753

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