Investigation on Stability of Positive Singular Markovian Jump Systems With Mode-Dependent Derivative-Term Coefficient

This article investigates stochastic stability of positive singular Markovian jump systems (PSMJSs) with mode-dependent derivative-term coefficient. Different from the existing results, the condition on stochastic stability of PSMJSs associated with state jumps behavior at switching instants is give...

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Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 3; pp. 1385 - 1394
Main Authors Zhang, Di, Du, Baozhu, Jing, Yuanwei, Sun, Xingjian
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuit stability
Cybernetics
Linear programming
Mode-dependent derivative-term coefficient
positive singular Markovian jump systems (PSMJSs)
Stability
Stability criteria
state jumps
stochastic stability
Sun
Switches
transition rates
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Summary:This article investigates stochastic stability of positive singular Markovian jump systems (PSMJSs) with mode-dependent derivative-term coefficient. Different from the existing results, the condition on stochastic stability of PSMJSs associated with state jumps behavior at switching instants is given by means of linear co-positive Lyapunuov function. On the basis of it, the conditions on stochastic stability under the cases of partially known transition rates and uncertain transition rates have been presented, respectively. All obtained conditions can be solved by linear programming (LP) technique. Finally, an example is introduced to illustrate the effectiveness and the merits of the results proposed in this article.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2020.3020271