# Strong Structural Controllability of Diffusively Coupled Networks: Comparison of Bounds Based on Distances and Zero Forcing

@article{Yazcolu2020StrongSC, title={Strong Structural Controllability of Diffusively Coupled Networks: Comparison of Bounds Based on Distances and Zero Forcing}, author={Yasin Yazıcıoğlu and Mudassir Shabbir and Waseem Abbas and Xenofon D. Koutsoukos}, journal={2020 59th IEEE Conference on Decision and Control (CDC)}, year={2020}, pages={566-571} }

We study the strong structural controllability (SSC) of diffusively coupled networks, where the external control inputs are injected to only some nodes, namely the leaders. For such systems, one measure of controllability is the dimension of strong structurally controllable subspace, which is equal to the smallest possible rank of controllability matrix under admissible (positive) coupling weights. In this paper, we compare two tight lower bounds on the dimension of strong structurally…

## 6 Citations

### Strong structural controllability of networks: Comparison of bounds using distances and zero forcing

- Mathematics, Computer ScienceAutom.
- 2022

### On Computation of the Distance-based Bound on Strong Structural Controllability in Networks

- Computer Science, MathematicsIEEE Transactions on Automatic Control
- 2022

This paper provides a polynomial time algorithm to compute a particular sequence of vectors containing distances between leaders and the remaining nodes in the underlying network graph that directly provides a lower bound on the dimension of strong structurally controllable subspace in networks with Laplacian dynamics.

### The Controllability and Structural Controllability of Laplacian Dynamics

- MathematicsArXiv
- 2022

In this paper, classic controllability and structural controllability under two protocols are investigated. For classic controllability, the multiplicity of eigenvalue zero of general Laplacian…

### Edge Augmentation With Controllability Constraints in Directed Laplacian Networks

- Computer Science, MathematicsIEEE Control Systems Letters
- 2022

An edge augmentation algorithm that adds the maximum number of edges in a graph while preserving the ZF-based bound is provided, and a randomized algorithm is presented that guarantees an $\alpha $ –approximate solution with high probability.

### Estimation of Strong Structural Controllable Subspace of Network: Equitable Partition Method

- Mathematics
- 2022

—In this paper, the strong structural controllability of the network is analyzed. Based on the uniﬁed deﬁnition of equitable partition for kinds of scene, the upper bound of the strong structural…

### Leader Selection for Strong Structural Controllability in Networks using Zero Forcing Sets

- Computer Science, Mathematics2022 American Control Conference (ACC)
- 2022

It is shown that previously known greedy heuristic could give arbitrarily bad solutions for some graphs, and an optimal algorithm to compute a minimum zero forcing set (ZFS) in linear time in trees is presented.

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