Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay and Partially Unknown Transition Probabilities

Shao Hua Long; Shou Ming Zhong

doi:10.4028/www.scientific.net/AMM.235.254

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 235Stochastic Admissibility for a Class of Nonlinear...

Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay and Partially Unknown Transition Probabilities

Abstract:

The problem of the stochastic admissibility for a class of nonlinear singular Markovian jump systems with time-delay and partially unknown transition probabilities is discussed in this note. The considered singular matrices E_r(t) in the discussed system are mode-dependent. By using the free-weighting matrix method and the Lyapunov functional method, a sufficient condition which guarantees the considered system to be stochastically admissible is presented in the form of linear matrix inequalities(LMIs). Finally, a numerical example is given to show the effectiveness of the presented method.

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Periodical:

Applied Mechanics and Materials (Volume 235)

Pages:

254-258

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.235.254

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Online since:

November 2012

Authors:

Shao Hua Long, Shou Ming Zhong

Keywords:

Partially Unknown Transition Probabilities, Singular Markovian Jump System, Stochastic Admissibility, Time-Delay

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