Resumen de Observability for Markovian Jump Boolean Network with Random Delay Effect in States
Xudong Gui, JinRong Wang, Dong Shen
This article investigates the observability for Markovian jump Boolean network with random delay effect (MJBNRDE) in states which including two mutually independent Markov chains. First, the observability of MJBNRDE is converted into set reachability of the interconnected MJBNRDE by semi-tensor product and a parallel extension technique. Then, we define an indicator matrix and invariant subset to convert the observability of MJBNRDE into stability of the reduced dynamical system. A necessary and sufficient criterion is provided to determine whether a MJBNRDE is asymptotically observable in distribution. Finally, two numerical examples are employed to illustrate the efficiency of theoretical results.
