Losslessness of nonlinear stochastic discrete-time systems
type: Item
instance of: scholarly article
title: Losslessness of nonlinear stochastic discrete-time systems
zbMATH Open document ID: 1418.93274
DOI: 10.1155/2015/594010
author: Xianqiang Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless theory, we show that a nonlinear stochastic discrete-time system can be lossless via state feedback if and only if it has relative degree \(\left(0, \ldots, 0\right)\) and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 39A60
Mathematics Subject Classification ID: 60H99
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 7025419
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/594010
OpenAlex ID: W1881299591
Wikidata QID: Q59106024
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description: scientific article; zbMATH DE number 7025419