Displaying similar documents to “A priori results in linear-quadratic optimal control theory”

A simple solution to the finite-horizon LQ problem with zero terminal state

Lorenzo Ntogramatzidis (2003)

Kybernetika

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This short paper deals with the classical finite-horizon linear-quadratic regulator problem with the terminal state constrained to be zero, for both continuous and discrete-time systems. Closed-form expressions for the optimal state and costate trajectories of the Hamiltonian system, as well as the corresponding control law, are derived through the solutions of two infinite- horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal...