Optimal Synthesis in a Time-Optimal Problem for the Double Integrator System with a Linear State Constraint

We consider a time-optimal problem for the classical “double integrator” system under an arbitrary linear state constraint. Using the maximum principle, we construct the full synthesis of optimal trajectories and provide a qualitative investigation of the measure, the Lagrange multiplier correspondi...

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Veröffentlicht in:	Journal of dynamical and control systems 2023, Vol.29 (1), p.21-42
Hauptverfasser:	Dmitruk, Andrei, Samylovskiy, Ivan
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of Variations and Optimal Control Optimization Control Double integrators Dynamical Systems Dynamical Systems and Ergodic Theory Lagrange multiplier Mathematics Mathematics and Statistics Maximum principle Synthesis Systems Theory Trajectory optimization Vibration
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