Topic
Transfer function
About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.
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TL;DR: A survey of the literature on well-posed linear systems can be found in this article, where a simple way to generate conservative systems via a second-order differential equation in a Hilbert space is described.
Abstract: We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
77 citations
TL;DR: The Hilbert transform is a commonly used technique for relating the real and imaginary parts of a causal spectral response as mentioned in this paper, which is found in both continuous and discrete forms and is widely used in circuit analysis, digital signal processing, image reconstruction and remote sensing.
Abstract: The Hilbert transform is a commonly used technique for relating the real and imaginary parts of a causal spectral response. It is found in both continuous and discrete forms and is widely used in circuit analysis, digital signal processing, image reconstruction and remote sensing. One useful application in the area of high-power microwave (HPM) technology is in correcting measured continuous wave (CW) transfer function data, so as to insure causality in reconstructed transient responses. Another application of the Hilbert transform is in the area of complex spectral estimation using magnitude-only data. Here, the applications of the transform to several specific spectral filtering and phase reconstruction problems are illustrated. >
77 citations
TL;DR: In this paper, a transient flow simulation for gas pipelines and networks is proposed, which is based on the state space equations derived by the transfer function equations and the effect of the flow inertia is incorporated in this simulation.
76 citations
01 Dec 1987
TL;DR: In this paper, the problem of robustification of a given stabilizing controller to make the closed loop system remain stable for prescribed ranges of variations of a set of physical parameters in the plant is treated in the state space and transfer function domains.
Abstract: This paper considers the problem of robustification of a given stabilizing controller to make the closed loop system remain stable for prescribed ranges of variations of a set of physical parameters in the plant. The problem is treated in the state space and transfer function domains. In the state space domain a stability hypersphere is determined in the parameter space using Lyapunov theory. The radius of this hypersphere is iteratively increased by adjusting the controller parameters until the prescribed perturbation ranges are contained in the stability hypersphere. In the transfer function domain a corresponding stability margin is defined and optimized based on the recently introduced concept of the largest stability hypersphere in the space of coefficients of the closed loop characteristic polynomial. The design algorithms are illustrated by examples.
76 citations