Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This short paper deals with the classical finite-horizon linear-quadratic regulator prob­ lem 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 ll as the corresponding control law, are derived through the so­ lutions of two infinite-horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal value of the performance index, as a function of the initial state, is also presented.
['Lorenzo Ntogramatzidis']
I am writing a research paper on a idea A SIMPLE SOLUTION TO THE FINITE-HORIZON LQ PROBLEM WITH ZERO TERMINAL STATE
[{"from": "human", "value": "I am writing a research paper on a idea A SIMPLE SOLUTION TO THE FINITE-HORIZON LQ PROBLEM WITH ZERO TERMINAL STATE"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This short paper deals with the classical finite-horizon linear-quadratic regulator prob\u00ad lem 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 ll as the corresponding control law, are derived through the so\u00ad lutions of two infinite-horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal value of the performance index, as a function of the initial state, is also presented."}]