Conference Proceedings

Null Space Strong Structural Controllability via Skew Zero Forcing Sets

Shima Sadat Mousavi, Airlie Chapman, Mohammad Haeri, Mehran Mesbahi

2018 EUROPEAN CONTROL CONFERENCE (ECC) | IEEE | Published : 2018

Abstract

In this paper, we examine strong structural controllability of a particular subspace of linear time-invariant networks, namely, the null space of the parameterized family of system matrices. In this direction, we establish a one-to-one correspondence between the set of input nodes for null space controllability and the notion of skew zero forcing sets. Using this class of zero forcing sets, we provide conditions to guarantee that the null space of the parameterized set of state matrices sharing a common network topology is trivial. Moreover, the uncontrollability of the zero mode of directed and undirected networks from a single node is discussed. In addition, methods for growing a network w..

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