02681nam 2200493Ia 450 991043802860332120200520144314.03-319-01240-110.1007/978-3-319-01240-7(OCoLC)857225517(MiFhGG)GVRL6XPR(CKB)3710000000015819(MiAaPQ)EBC1398637(EXLCZ)99371000000001581920111102d2013 uy 0engurun|---uuuuatxtccrStructure of approximate solutions of optimal control problems /Alexander J. Zaslavski1st ed. 2013.New York Springer Science20131 online resource (vii, 127 pages)Springer briefs in optimization"ISSN: 2190-8354."3-319-01239-8 Includes bibliographical references and index.Preface -- 1.Introduction -- 2.Turnpike Properties of Optimal Control Problems -- 3.Infinite Horizon Problems -- 4.Linear Control Systems -- References.  .This title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.  The author generalizes the results of the turnpike property by considering  a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book  useful and valuable due to its  presentation of solutions to a number of difficult problems in optimal control  and presentation of new approaches, techniques and methods.SpringerBriefs in optimization.Mathematical optimizationControl theoryMathematical optimization.Control theory.510Zaslavski Alexander J721713MiAaPQMiAaPQMiAaPQBOOK9910438028603321Structure of Approximate Solutions of Optimal Control Problems2501401UNINA