In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of paper is to find optimal control-state pair satisfying dynamic constraint form a system such that performance index minimized. method solving convert into standard system. Under some particular conditions, explicit formulas which minimize index.

We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter H > 1/2). This maximum principle specifies a system of equations that the optimal control must satisfy (necessary condition for the optimal control). This system of equations consists of a backward stochastic differential eq...

In this note, we show that a natural optimal control problem for the ∞ \infty -obstacle admits an...

We introduce a single location periodic review inventory control problem with lost sales and fractional lead times. We model the optimal inventory control problem as a stochastic dynamic program and analyze properties of the objective function as well as the optimal policy. We present upper and lower bounds on the optimal policy. These bounds can readily be used in easily computable heuristics....