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Proceedings of the 44th IEEE Conference on Decision and Control
We propose a novel approach for solving the optimal feedback control problem. Following our previous research, we formulate the problem as a Hamiltonian system by using the necessary conditions for optimality, and treat the resultant phase flow as a canonical transformation. Then starting from the Hamilton-Jacobi equation for generating functions we derive a set of 1st order quasilinear partial differential equations with the appropriate initial or terminal conditions, which forms thedoi:10.1109/cdc.2005.1582586 fatcat:64imy7eeqzhpdkqer2ygw7umou