Figure - available from: Mathematics of Control Signals and Systems
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Illustration of the convergence of a solution toward a trim for the Kepler problem in 2D-plane in the left. Tick red is used for optimal solution with turnpike property, black for associated trim. The exponential convergence of the distance in blue between the angle variable of the optimal solution and the angle of the trim turnpike is shown on the right
Source publication
Motivated by mechanical systems with symmetries, we focus on optimal control problems possessing certain symmetries. Following recent works (Faulwasser in Math Control Signals Syst 34:759–788 2022; Trélat in Math Control Signals Syst 35:685–739 2023), which generalized the classical concept of static turnpike to manifold turnpike we extend the expo...
