This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Abstract In this paper, the problem of inverse quadratic optimal control over finite time-horizon for discrete-time linear systems is considered. Our goal to recover corresponding objective function using noisy observations. First, identifiability model structure analyzed under relative degree assumption and we show strictly globally identifiable. Next, study whose initial state distribution ob...