Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems

@article{Korda2014ConvexCO,
  title={Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems},
  author={Milan Korda and Didier Henrion and Colin Neil Jones},
  journal={SIAM J. Control and Optimization},
  year={2014},
  volume={52},
  pages={2944-2969}
}
We characterize the maximum controlled invariant (MCI) set for discreteas well as continuous-time nonlinear dynamical systems as the solution of an infinitedimensional linear programming problem. For systems with polynomial dynamics and compact semialgebraic state and control constraints, we describe a hierarchy of finite-dimensional linear matrix… CONTINUE READING

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