135 citations · 377 across the 14 of their papers we have counts for
18 papers
Reply to comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"
Shirin Panahi, Nelson Amaya, Isaac Klickstein +2
We respond briefly to a comment [1, arXiv:2110.15493] recently posted online on our paper [2, arXiv:2108.07893]. Complete and cluster synchronization of random networks is undoubte…
Cluster Synchronization of Networks via a Canonical Transformation for Simultaneous Block Diagonalization of Matrices
Shirin Panahi, Isaac Klickstein, Francesco Sorrentino
We study cluster synchronization of networks and propose a canonical transformation for simultaneous block diagonalization of matrices that we use to analyze stability of the clust…
Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks
Shirin Panahi, Nelson Amaya, Isaac Klickstein +2
We discuss here the application of the simultaneous block diagonalization (SBD) of matrices to the study of the stability of both complete and cluster synchronization in random (ge…
Selecting Energy Efficient Inputs using Graph Structure
Isaac Klickstein, Francesco Sorrentino
Selecting appropriate inputs for systems described by complex networks is an important but difficult problem that largely remains open in the field of control of networks. Recent w…
Symmetries and Cluster Synchronization in Multilayer Networks
F. Della Rossa, L. Pecora, K. Blaha +3
Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute th…
Controlling network ensembles
Isaac Klickstein, Francesco Sorrentino
The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems,…
Stability Analysis of Reservoir Computers Dynamics via Lyapunov Functions
Afroza Shirin, Isaac S. Klickstein, Francesco Sorrentino
A Lyapunov design method is used to analyze the nonlinear stability of a generic reservoir computer for both the cases of continuous-time and discrete-time dynamics. Using this met…
Symmetry Induced Group Consensus
Isaac Klickstein, Louis Pecora, Francesco Sorrentino
There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the comple…
Optimal Regulation of Blood Glucose Level in Type I Diabetes using Insulin and Glucagon
Afroza Shirin, Fabio Della Rossa, Isaac Klickstein +2
The Glucose-Insulin-Glucagon nonlinear model [1-4] accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes.…
Control Distance and Energy Scaling of Complex Networks
Isaac Klickstein, Francesco Sorrentino
It has recently been shown that the average energy required to control a subset of nodes in a complex network scales exponentially with the cardinality of the subset. While the mea…
Generating Graphs with Symmetry
Isaac Klickstein, Francesco Sorrentino
In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms such as the Erdős-Rényi model or the Barabási-Alb…
Optimal Input Placement in Lattice Graphs
Isaac Klickstein, Francesco Sorrentino
The control of dynamical, networked systems continues to receive much attention across the engineering and scientific research fields. Of particular interest is the proper way to d…
Control Energy of Lattice Graphs
Isaac Klickstein, Francesco Sorrentino
The control of complex networks has generated a lot of interest in a variety of fields from traffic management to neural systems. A commonly used metric to compare two particular c…
Prediction of Optimal Drug Schedules for Controlling Autophagy
Afroza Shirin, Isaac Klickstein, Song Feng +3
The effects of molecularly targeted drug perturbations on cellular activities and fates are difficult to predict using intuition alone because of the complex behaviors of cellular…
Optimal Control of Networks in the presence of Attackers and Defenders
Ishan Kafle, Sudarshan Bartaula, Afroza Shirin +3
We consider the problem of a dynamical network whose dynamics is subject to external perturbations (`attacks') locally applied at a subset of the network nodes. We assume that the…
Energy Scaling with Control Distance in Complex Networks
Isaac Klickstein, Ishan Kafle, Sudarshan Bartaula +1
It has recently been shown that the expected energy requirements of a control action applied to a complex network scales exponentially with the number of nodes that are targeted. W…
Locally Optimal Control of Complex Networks
Isaac Klickstein, Afroza Shirin, Francesco Sorrentino
It has recently been shown that the minimum energy solution of the control problem for a linear system produces a control trajectory that is nonlocal. An issue then arises when the…
Energy Scaling of Targeted Optimal Control of Complex Networks
Isaac S. Klickstein, Afroza Shirin, Francesco Sorrentino
Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to…