Abstract
This paper addresses the problem of the delay-dependent stability for Markovian jump time-varying delayed systems with partial information on transition probability. Combined the new constructed Lyapunov functional with the introduced free matrices, and using the analysis technique of inequalities, the delay-dependent stability conditions are derived in form of LMIs. A numerical example is given to show the validity and potential of the developed results.
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Zuo, Y., Xiong, L., Wang, J. (2012). New Stability of Markovian Jump Delayed Systems with Partially Unknown Transition Probabilities. In: Jin, D., Lin, S. (eds) Advances in Electronic Commerce, Web Application and Communication. Advances in Intelligent and Soft Computing, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28655-1_8
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DOI: https://doi.org/10.1007/978-3-642-28655-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28654-4
Online ISBN: 978-3-642-28655-1
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