© The Institution of Engineering and Technology
This study deals with the control problems of a class of discretetime nonlinear Markovian jump systems subject to saturating actuators and incomplete knowledge of transition probabilities. Modal nonlinearities satisfying sector conditions are taken into consideration. Sufficient conditions that guarantee the closedloop system to be locally stochastically stable are given. The linear matrix inequality (LMI) approach is used to analyse the closedloop plant stability and l_{2}gain. Conditions in terms of LMIs are provided for obtaining an l_{2}gain as small as possible. A simulation example is given to illustrate the effectiveness of the proposed method.
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http://iet.metastore.ingenta.com/content/journals/10.1049/ietcta.2012.0101
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