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

4 - Pontryagin Extremals: Characterization and Local Minimality


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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