Abstract
For the problems of optimal control with fixed boundary values of the phase coordinates, a scheme for establishing the signs of pulses in the procedure of the Pontryagin maximum principle was proposed. It lies in passing from the original optimization problem to an equivalent problem where the boundary conditions like equalities are replaced by inequalities that do not improve the performance index and putting down the transversality conditions. An example from the mechanics of space flight illustrated operability of this scheme.
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Tokarev, V.V. On the Signs of Pulses in the Problems of Optimal Control with Fixed Ends of the Trajectories. Automation and Remote Control 62, 1263–1272 (2001). https://doi.org/10.1023/A:1010249410969
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DOI: https://doi.org/10.1023/A:1010249410969