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Abstract

This chapter is devoted to a qualitative analysis of some adjoint linear dynamics. We investigate the free endpoint control problem. In this chapter, we define the simple variation of a control. We study the variation of the terminal payoff. The Pontryagin maximum principle is deducted.

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References

  1. L. Evans, An Introduction to Mathematical Optimal Control Theory, Version 0.2 (Department of Mathematics, University of California, Berkeley), 2010.

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  2. V. Lakshmikantham, S. Sivasundaram, Stability of moving invariant sets and uncertain dynamic systems on time scales. Comput. Math. Appl. 36, 339–346 (1998)

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Georgiev, S.G. (2021). The Pontryagin Maximum Principle. In: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer, Cham. https://doi.org/10.1007/978-3-030-76132-5_12

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