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This paper investigates the time–domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the discrete Mittag–Leffler function. In particular, we find the limitation of discrete Mittag–Leffler when adopted in describing the response. Then we establish two fundamental properties of a nabla discrete fractional order...
In this paper, steady‐state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non‐unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non‐unity feedback. Then steady‐state error of various types of FOCSs are analyzed...
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