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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...
The l2-l∞ filtering problem of discrete-time switched state-delay systems under asynchronous switching is considered in this paper. The objective is to obtain a full-order or reduced-order switched filter guaranteeing the exponential stability with l2-l∞ performance of the filtering error system. A sufficient condition in the form of linear matrix inequalities for the exponential stability with the...
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