TY - GEN TY - GEN T1 - Structure of Approximate Solutions of Optimal Control Problems T2 - SpringerBriefs in Optimization, A1 - Zaslavski, Alexander J. LA - English PP - Cham PB - Springer International Publishing : Imprint: Springer YR - 2013 ED - 1st ed. 2013. UL - http://discoverylib.upm.edu.my/discovery/Record/978-3-319-01240-7 AB - 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. OP - 135 CN - QA315-316 SN - 9783319012407 KW - Calculus of variations. KW - System theory. KW - Game theory. KW - Mathematical optimization. KW - Calculus of Variations and Optimal Control; Optimization. KW - Systems Theory, Control. KW - Game Theory, Economics, Social and Behav. Sciences. KW - Continuous Optimization. ER -