Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control

Xin-Xin Han, Kai-Ning Wu and Xiaohua Ding

Applied Mathematics and Computation, 2020, vol. 385, issue C

Abstract: This paper investigates the finite-time stability (FTS) for a class of stochastic Markovian reaction-diffusion systems (SMRDSs). First, a boundary control strategy is put forward. Under the designed boundary controller, a sufficient condition of FTS for SMRDSs is provided based on the method of Lyapunov-Krasovskii functional combined with inequality techniques.When there exists the incompleteness of transition rate information, we further study the problem of SMRDSs with partially unknown transition rates (TRs) by adding a set of symmetric free matrices. An FTS criterion is also obtained for this case. Theoretical results show that the case of completely known TRs is the special case of partially unknown TRs. Finally, simulation examples are presented to verify the validity of our derived results.

Keywords: Boundary control; Finite-time stability; Markovian switching; Partially unknown transition rates; Stochastic reaction-diffusion systems (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300320303830
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:385:y:2020:i:c:s0096300320303830

DOI: 10.1016/j.amc.2020.125422

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 ().