Belbas, S. A.; Mayergoyz, I. D. Optimal control of dynamic systems with hysteresis. (English) Zbl 0995.49015 Int. J. Control 73, No. 1, 22-28 (2000). Summary: We formulate a model of hysteresis of Madelung type, and we study an optimal control problem associated with dynamical systems that include this type of hysteresis. We obtain and analyze a variant of dynamic programming equations for the solution of this optimal control problem. Cited in 5 Documents MSC: 49L20 Dynamic programming in optimal control and differential games 49M25 Discrete approximations in optimal control Keywords:Madelung type hysteresis; optimal control; dynamical systems; dynamic programming equations PDFBibTeX XMLCite \textit{S. A. Belbas} and \textit{I. D. Mayergoyz}, Int. J. Control 73, No. 1, 22--28 (2000; Zbl 0995.49015) Full Text: DOI