Subjects: Digital Publishing >> New Media submitted time 2023-10-08 Cooperative journals: 《中国传媒科技》
Abstract：新媒体以润物细无声的态势影响着整个社会,其传播方式、消费方式越来越受到消费者的喜爱,影响着电视新闻媒体。新闻媒体要想在这次的变革中谋求发展,要根据时代的特征和自身环境,不断提升技术和运营的思路。电视媒体根据新媒体的未来走向,找准定位是一个重大的课题。本文就新媒体对电视媒体的影响展开阐述,通过科学传播、媒介游戏论,就电视媒体存在的问题进行深入剖析,根据电视媒体的优势及在消费者心目中的地位,试图找到基于新媒体背景下我国电视新闻媒体的创新策略,形成一条稳定的、有特色的产业之路。
Subjects: Mathematics >> Control and Optimization. submitted time 2023-01-27
Abstract： In this paper, we investigate the uniform exponential stability of a semi-discrete scheme for a Schr "{o}dinger equation under boundary feedback stabilizing control in the natural state space $L^2(0,1)$. This study is significant since a time domain energy multiplier that allows proving the exponential stability of this continuous Schr "{o}dinger system has not yet found, thus leading to a major mathematical challenge to semi-discretization of the PDE, an open problem for a long time. Although the powerful frequency domain energy multiplier approach has been used in proving exponential stability for PDEs since 1980s, its use to the emph{uniform} exponential stability of the semi-discrete scheme for PDEs has not been reported yet. The difficulty associated with the uniformity is that due to the parameter of the step size, it involves a family of operators in different state spaces that need to be considered simultaneously. Based on the Huang-Pr "{u}ss frequency domain criterion for uniform exponential stability of a family of $C_0$-semigroups in Hilbert spaces, we solve this problem for the first time by proving the uniform boundedness for all the resolvents of these operators on the imaginary axis. The proof almost exactly follows the procedure for the exponential stability of the continuous counterpart, highlighting
the advantage of this discretization method.
Peer Review Status:
Awaiting Review
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