Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 47, Issue 11, Pages 2499-2509Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2014.998746
Keywords
neutral-type stochastic system; Markovian switching; mean-square exponentially stable; delay-dependent stability; general uncertain transition rate
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Funding
- National Natural Science Foundations of China [61473097]
- National 863 Plan Project [2008AA04Z401, 2009AA043404]
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This paper investigates the delay-dependent stability problem for neutral Markovian jump systems with generally unknown transition rates (GUTRs). In this neutral GUTR model, each transition rate is completely unknown or only its estimate value is known. Based on the study of expectations of the stochastic cross-terms containing the [GRAPHICS] integral, a new stability criterion is derived in terms of linear matrix inequalities. In the mathematical derivation process, bounding stochastic cross-terms, model transformation and free-weighting matrix are not employed for less conservatism. Finally, an example is provided to demonstrate the effectiveness of the proposed results.
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