Finite-Time H ? Static Output Feedback Control for Itô Stochastic Markovian Jump Systems

Liu Xikui, Teng Yapeng and Li Yan
Additional contact information
Liu Xikui: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Teng Yapeng: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Li Yan: School of Computer Science, Qufu Normal University, Rizhao 276826, China

Mathematics, 2020, vol. 8, issue 10, 1-16

Abstract: This paper focuses on the problem of finite-time H ? static output feedback control for I t o ^ stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic H ? finite-time boundedness. The validity of the developed method was demonstrated through two examples.

Keywords: finite-time; static output feedback; markovian jump; stochastic system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/10/1709/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/10/1709/ (text/html)

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:gam:jmathe:v:8:y:2020:i:10:p:1709-:d:423617

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().