6533b827fe1ef96bd12864d7

RESEARCH PRODUCT

Exponential stability analysis of Markovian jump nonlinear systems with mixed time delays and partially known transition probabilities

Bo WangPeng ShiHamid Reza Karimi

subject

Time delayssymbols.namesakeNonlinear systemMarkovian jumpDiscrete time and continuous timeExponential stabilityControl theorysymbolsApplied mathematicsMarkov processCircle criterionFunction (mathematics)Mathematics

description

In this paper, the problem of exponential stability is studied for a class of Markovian jump neutral nonlinear systems with mixed neutral and discrete time delays. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situation that the system's transition rates are partially or completely accessible. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.

yearjournalcountryeditionlanguage
2013-10-012013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)
https://doi.org/10.1109/icat.2013.6684056