Stability of Markovian Jump Systems over Networks via Delta Operator Approach
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Yang, Hongjiu, Xia, Yuanqing, Shi, Peng and Fu, Mengyin (2012) Stability of Markovian Jump Systems over Networks via Delta Operator Approach. Circuits Systems and Signal Processing, 31 (1). pp. 107-125. ISSN 0278-081X (print) 1531-5878 (online)
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.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/10428 |
| DOI | 10.1007/s00034-010-9263-8 |
| Official URL | http://link.springer.com/content/pdf/10.1007%2Fs00... |
| Subjects | Historical > FOR Classification > 0802 Computation Theory and Mathematics Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > Faculty/School/Research Centre/Department > School of Engineering and Science |
| Keywords | ResPubID25093, ResPubID25520, Delta operator system, networked control system, robust stability, Markovian jump parameter, mode-dependent delays, linear matrix inequalities, LMI |
| Citations in Scopus | 23 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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