Corpus ID: 220794037

Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems

@article{Heiland2020ClassicalST,
  title={Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems},
  author={J. Heiland and E. Zuazua},
  journal={arXiv: Optimization and Control},
  year={2020}
}
The concept of turnpike connects the solution of long but finite time horizon optimal control problems with steady state optimal controls. A key ingredient of the analysis of the turnpike is the linear quadratic regulator problem and the convergence of the solution of the associated differential Riccati equation as the terminal time approaches infinity. This convergence has been investigated in linear systems theory in the 1980s. We extend classical system theoretic results for the… Expand
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