期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 8, 页码 4222-4228出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2679903
关键词
Boolean networks (BNs); l(1) gain; Markovian jump parameters; semi-tensor product (STP); stochastic Lyapunov function
资金
- Research Grants Council of the Hong Kong Special Administrative Region of China [CityU/11209514]
This paper presents some results on stability and l(1) gain analysis of Boolean networks with Markovian jump parameters. A necessary and sufficient condition for global stability of the concerned Boolean networks is given in terms of linear programming by utilizing the semi-tensor product of matrices and some properties of linear positive systems. Then, the definition of Lyapunov function for stochastic Boolean networks is presented and Lyapunov theorem is derived. Moreover, an l(1) gain problem for stochastic Boolean networks with external disturbances is formulated and solved by a sufficient condition. Examples are shown to illustrate the effectiveness of the obtained results.
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