6533b7d8fe1ef96bd126aea2

RESEARCH PRODUCT

New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates

Changhong WangYonggui KaoJing XieHamid Reza Karimi

subject

0209 industrial biotechnologygeneral uncertain transition rateStability criterionModel transformationDelay-dependent stability02 engineering and technologyTransition rate matrixStability (probability)neutral-type stochastic systemTheoretical Computer ScienceDelay dependentMatrix (mathematics)Markovian jump020901 industrial engineering & automationControl theoryBounding overwatch0202 electrical engineering electronic engineering information engineeringApplied mathematicsMathematicscomputer.programming_languageDelay-dependent stability; neutral-type stochastic system;Markovian switching; general uncertain transition rate; mean-square exponentially stable; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionMarkovian switchingComputer Science Applications1707 Computer Vision and Pattern RecognitionComputer Science ApplicationsControl and Systems Engineeringmean-square exponentially stable020201 artificial intelligence & image processingcomputer

description

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 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.

yearjournalcountryeditionlanguage
2015-02-19International Journal of Systems Science
https://doi.org/10.1080/00207721.2014.998746