Journal
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES
Volume 80, Issue 6, Pages 513-518Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17442500802006436
Keywords
jump-parameter system; semi-Markov process; asymptotic stability
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The asymptotic stability of stochastic Ito-type jump-parameter semi-Markov systems of linear differential equations is examined. A system of integral matrix equations is derived which has the property that the existence of a positive definite solution of the system implies the asymptotic stability of the stochastic semi-Markov system. Finally, an illustrative example is presented.
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