Corpus ID: 18168242

Order Reduction of Optimal Control Systems

@article{Borovikov2004OrderRO,
  title={Order Reduction of Optimal Control Systems},
  author={I. Borovikov},
  journal={arXiv: Optimization and Control},
  year={2004}
}
  • I. Borovikov
  • Published 7 September 2004
  • Mathematics
  • arXiv: Optimization and Control
The paper presents necessary and sufficient conditions for the order reduction of optimal control systems. Exploring the corresponding Hamiltonian system allows to solve the order reduction problem in terms of dynamical systems, observability and invariant differential forms. The approach is applicable to non-degenerate optimal control systems with smooth integral cost function. The cost function is defined on the trajectories of a smooth dynamical control system with unconstrained controls and… Expand

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