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math.OC2019
Strong Structural Controllability of Signed Networks
Shima Sadat Mousavi, Mohammad Haeri, Mehran Mesbahi
In this paper, we discuss the controllability of a family of linear time-invariant (LTI) networks defined on a signed graph. In this direction, we introduce the notion of positive…
math.OC2018
Controllability Analysis of Threshold Graphs and Cographs
Shima Sadat Mousavi, Mohammad Haeri, Mehran Mesbahi
In this paper, we investigate the controllability of a linear time-invariant network following a Laplacian dynamics defined on a threshold graph. In this direction, an algorithm fo…
math.OC2018
Laplacian Dynamics on Cographs: Controllability Analysis through Joins and Unions
Shima Sadat Mousavi, Mohammad Haeri, Mehran Mesbahi
In this paper, we examine the controllability of Laplacian dynamic networks on cographs. Cographs appear in modeling a wide range of networks and include as special instances, the…