Structure of Approximate Solutions of Optimal Control Problems [electronic resource] / by Alexander J. Zaslavski.
Contributor(s): SpringerLink (Online service)Material type: TextSeries: SpringerBriefs in Optimization: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2013Description: VII, 135 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319012407Subject(s): Mathematics | Game theory | System theory | Calculus of variations | Mathematical optimization | Mathematics | Calculus of Variations and Optimal Control; Optimization | Systems Theory, Control | Game Theory, Economics, Social and Behav. Sciences | Continuous OptimizationAdditional physical formats: Printed edition:: No titleDDC classification: 515.64 LOC classification: QA315-316QA402.3QA402.5-QA402.6Online resources: Click here to access online
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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.