Abstract: This note presents the optimal linear-quadratic (LQ) regulator for a linear system with multiple time delays in the control input. Optimality of the solution is proved in two steps. First, a ...

In this paper, we analyze the optimal control policy to minimize the average costs in a retrial queueing system. At any decision epoch, the manager uses admission probabilities a's to control the ...

We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer ...

Optimal control problem: A mathematical framework for determining control functions that minimise (or maximise) a cost functional subject to constraints imposed by differential equations.