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  • Print publication year: 2019
  • Online publication date: October 2019

4 - Pontryagin Extremals: Characterization and Local Minimality

Summary

This chapter is devoted to the study of the geometric properties of Pontryagin extremals. We then prove that small pieces of normal extremal trajectories are length-minimizers. To this aim, all through this chapter, we develop the language of symplectic geometry, starting from the key concept of the Poisson bracket.

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