|Identification of Optimal Set of Driver Nodes in Complex Networked Systems Using Region of Attraction
Ram Niwash Mahia*, Mahaveer Singh, and Deepak M. Fulwani
International Journal of Control, Automation, and Systems, vol. 16, no. 1, pp.97-107, 2018
Abstract : "A controllable networked system is steered from an initial state to the desired state with the help of a set
of driver nodes. The set of driver nodes used to control a networked system may not be unique. There exist multiple
set of driver nodes which may be utilized to control the networked system. This is imperative to characterize
these sets of driver nodes for identification of an optimal set of driver nodes. This paper presents mathematical
formulation and two algorithms using the Region of Attraction (ROA) to identify an optimal set of driver nodes.
Optimal set of driver nodes is identified to maximize the stability region. For any practical networked systems,
driver node has limited actuating capacity, this paper consider this limitation a priori. The proposed mathematical
formulation and algorithms are verified with the help of numerical examples using the MATLAB simulation. The
proposed algorithms have been validated by applying on a robotic network."
Complex networked systems, optimal set of driver nodes, region of attraction, saturation control.