Approximation of impulse controls by physically realizable fast controls

摘要

The application of impulse controls-delta-function and its higher derivatives-essentially improves our ability to control various systems. However, the delta-function and its derivatives are "idealizations." Controls applied to model and control real systems are finite (although possibly quite large in magnitude). In this article we consider bounded approximations of impulse controls-so-called fast controls-and examine methods of their construction.