Stabilization of semi-Markovian jump systems with uncertain probability intensities and its extension to quantized control
type: Item
instance of: scholarly article
title: Stabilization of semi-Markovian jump systems with uncertain probability intensities and its extension to quantized control
zbMATH Open document ID: 1400.93277
DOI: 10.1155/2016/8417475
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper concentrates on the issue of stability analysis and control synthesis for semi-Markovian jump systems (S-MJSs) with uncertain probability intensities. Here, to construct a more applicable transition model for S-MJSs, the probability intensities are taken to be uncertain, and this property is totally reflected in the stabilization condition via a relaxation process established on the basis of time-varying transition rates. Moreover, an extension of the proposed approach is made to tackle the quantized control problem of S-MJSs, where the infinitesimal operator of a stochastic Lyapunov function is clearly discussed with consideration of input quantization errors.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 60K15
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6953655
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8417475
OpenAlex ID: W2564920717
Wikidata QID: Q59140923
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description: scientific article; zbMATH DE number 6953655