Abstract
In this introductory chapter, we discuss the motivations for using impulse controls. As a mathematical justification of impulses, we present a simple variational problem that has solution only in the form of a delta function. We further consider the issue of control for a physical system that results in the same kind of variational problem, thus indicating that impulse controls do arise in real-world applications.
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Kurzhanski, A.B., Daryin, A.N. (2020). Introduction: Why Impulses? . In: Dynamic Programming for Impulse Feedback and Fast Controls. Lecture Notes in Control and Information Sciences, vol 468. Springer, London. https://doi.org/10.1007/978-1-4471-7437-0_1
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