Losslessness of Nonlinear Stochastic Discrete-Time Systems

Xikui Liu, Yan Li and Ning Gao

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-8

Abstract:

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 and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:594010

DOI: 10.1155/2015/594010

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