Finite-time dissipative control for stochastic interval systems with time-delay and Markovian switching
Guici Chen,
Yu Gao and
Shasha Zhu
Applied Mathematics and Computation, 2017, vol. 310, issue C, 169-181
Abstract:
The finite-time stochastically boundedness (FTSB) and the finite-time strictly stochastically exponential dissipative (FTSSED) control problems for the stochastic interval systems, which are encountered the time-delay and Markovian switching, are investigated in this paper. The stochastic delayed interval systems with Markovian switching (SDISswMS) are equivalently transformed into a kind of stochastic uncertain time-delay systems with Markovian switching by interval matrix transformation. Some sufficient conditions of FTSB and FTSSED for the stochastic delayed interval systems with Markovian switching are obtained, and the FTSB and FTSSED controllers are designed by solving a series of linear matrix inequalities, which are solvable by LMIs toolbox. Finally, a numerical example with simulations is given to illustrate the correctness of the obtained results and the effectiveness of the designed controller.
Keywords: Finite-time; Dissipative control; Stochastic systems; Interval systems; Markovian switching (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300317302850
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:310:y:2017:i:c:p:169-181
DOI: 10.1016/j.amc.2017.04.033
Access Statistics for this article
Applied Mathematics and Computation is currently edited by Theodore Simos
More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().