Hamiltonian lifts and optimal trajectories

Research output: Contribution to journalConference article

Abstract

The Pontryagin maximum principle says that, if γ is a boundary trajectory of a control system Σ, then γ is a projection of a particular kind of trajectory - a Hamiltonian-mimizing trajectory - of another kind of system, the Hamiltonian lift of Σ. This point of view is useful to prove regularity theorems for optimal trajectories. The author illustrates this by describing some of these theorems, and proving one of them in detail.

Original languageEnglish (US)
Pages (from-to)1182-1186
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1988
EventProceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA
Duration: Dec 7 1988Dec 9 1988

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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