J. Aseltine, A. R. Mancini and C. W. Sartune, “A Survey of Adaptive Control Systems,” IRE Transactions on Automatic Control, Vol. 3, No. 6, 1958, pp. 102-108. doi:10.1109/TAC.1958.1105168

has been cited by the following article:

• TITLE: Adaptive Control of a Production-Inventory Model with Uncertain Deterioration Rate

  AUTHORS: Fawzy Bukhari

  KEYWORDS: Production Inventory System, Adaptive Control, Liapunov Technique

  JOURNAL NAME: Applied Mathematics, Vol.2 No.9, September 19, 2011

  ABSTRACT: This paper studied a continuous-time model of a production maintenance system in which a manufacturing firm produces a single product selling some and stocking the remaining. The problem of adaptive control of a production-maintenance system with unknown deterioration has been presented. Using Liapunov technique, the production rate and updating rule of deterioration rate are derived as non-linear functions of inventory level perturbation. Numerical analysis for the system has been presented for a set of parameter values and demand rate.