Exploring Controllability of Time-varying Boolean Networks

Time-varying Boolean control network is firstly formulated. The controllability is investigated, necessary and sufficient condition is presented via controllability matrix ${\mathcal{C}^ * }$. Using ${\mathcal{C}^ * }$, the necessary and sufficient condition for set controllability is also obtained. Similar to time-invariant case, results for set controllability are used to solve some other control problems, including stabilization, observability, and output regulation.

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