Stability of Markovian jump systems over networks via delta operator approach
| dc.contributor.author | Yang, H. | |
| dc.contributor.author | Xia, Y. | |
| dc.contributor.author | Shi, P. | |
| dc.contributor.author | Fu, M. | |
| dc.date.issued | 2012 | |
| dc.description.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. | |
| dc.description.statementofresponsibility | Hongjiu Yang, Yuanqing Xia, Peng Shi, Mengyin Fu | |
| dc.identifier.citation | Circuits, Systems and Signal Processing, 2012; 31(1):107-125 | |
| dc.identifier.doi | 10.1007/s00034-010-9263-8 | |
| dc.identifier.issn | 0278-081X | |
| dc.identifier.issn | 1531-5878 | |
| dc.identifier.orcid | Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435] | |
| dc.identifier.uri | http://hdl.handle.net/2440/77845 | |
| dc.language.iso | en | |
| dc.publisher | Birkhauser Boston Inc | |
| dc.rights | © Springer Science+Business Media, LLC 2011 | |
| dc.source.uri | https://doi.org/10.1007/s00034-010-9263-8 | |
| dc.subject | Delta operator systems | |
| dc.subject | Networked control systems | |
| dc.subject | Robust stability | |
| dc.subject | Markovian jump parameters | |
| dc.subject | Mode-dependent delays | |
| dc.subject | Linear matrix inequalities (LMIs) | |
| dc.title | Stability of Markovian jump systems over networks via delta operator approach | |
| dc.type | Journal article | |
| pubs.publication-status | Published |