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https://hdl.handle.net/2440/77845
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Type: | Journal article |
Title: | Stability of Markovian jump systems over networks via delta operator approach |
Author: | Yang, H. Xia, Y. Shi, P. Fu, M. |
Citation: | Circuits, Systems and Signal Processing, 2012; 31(1):107-125 |
Publisher: | Birkhauser Boston Inc |
Issue Date: | 2012 |
ISSN: | 0278-081X 1531-5878 |
Statement of Responsibility: | Hongjiu Yang, Yuanqing Xia, Peng Shi, Mengyin Fu |
Abstract: | This paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov-Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed. © Springer Science+Business Media, LLC 2011. |
Keywords: | Delta operator systems Networked control systems Robust stability Markovian jump parameters Mode-dependent delays Linear matrix inequalities (LMIs) |
Rights: | © Springer Science+Business Media, LLC 2011 |
DOI: | 10.1007/s00034-010-9263-8 |
Published version: | http://dx.doi.org/10.1007/s00034-010-9263-8 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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